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Mixing time and cutoff for one-dimensional particle systems. (English) Zbl 1540.60169

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4350-4374 (2023).

Reviewer: Sam Olesker-Taylor (Coventry)

MSC: 60J10 60G50 37L60 82C20

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Allahverdiev, Bilender P.; Tuna, Hüseyin

Impulsive Dirac system on time scales. (English) Zbl 1531.34085

Ukr. Math. J. 75, No. 6, 827-841 (2023) and Ukr. Mat. Zh. 75, No. 6, 723-735 (2023).

MSC: 34N05 34L40 34A37 34B09 34L15 34L10 47B25

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Allahverdiev, Bilender P.; Tuna, Hüseyin

On the resolvent operator of dynamic Dirac operators. (English) Zbl 1530.34074

Adv. Math. Sci. Appl. 32, No. 1, 1-16 (2023).

MSC: 34L40 34N05 47A10

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Onorato, M.; Lvov, Y. V.; Dematteis, G.; Chibbaro, S.

Wave turbulence and thermalization in one-dimensional chains. (English) Zbl 07771889

Phys. Rep. 1040, 1-36 (2023).

MSC: 82D03

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Allahverdiev, Bilender P.; Tuna, Hüseyin

Titchmarsh-Weyl theory for impulsive dynamic Dirac system. (English) Zbl 1525.34125

Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 148, 10 p. (2023).

MSC: 34L40 34B20 34A37 34N05

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Ammari, Habib; Barandun, Silvio; Cao, Jinghao; Feppon, Florian

Edge modes in subwavelength resonators in one dimension. (English) Zbl 1522.35057

Multiscale Model. Simul. 21, No. 3, 964-992 (2023).

MSC: 35B34 35P25 35J05 35C20 46T25 78A40

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Allahverdiev, Bilender P.; Tuna, Hüseyin

Conformable fractional dynamic Dirac system. (English) Zbl 1518.34091

Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 69, No. 1, 203-218 (2023).

MSC: 34N05 34A08 34L10 34L15 34L40 47B25

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Zhang, Jiali; Hu, Taotao; Ren, Hang; Xue, Kang; Ni, Shuangyuan; Li, Xiaodan; Lu, Shuang; Gu, Xiaoxuan

The behavior of many-body localization of quasi-disordered spin-$1/2$ chains. (English) Zbl 1494.82023

Int. J. Theor. Phys. 61, No. 4, Paper No. 122, 9 p. (2022).

MSC: 82B44 82B26 82B27 82B10 81V70

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Allahverdiev, Bilender P.; Tuna, Hüseyin

On expansion in eigenfunction for Dirac systems on the unbounded time scales. (English) Zbl 1494.34193

Differ. Equ. Dyn. Syst. 30, No. 2, 271-285 (2022).

MSC: 34N05 34L10 34L40

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Ankirchner, Stefan; Kruse, Thomas; Löhr, Wolfgang; Urusov, Mikhail

Properties of the EMCEL scheme for approximating irregular diffusions. (English) Zbl 1484.60082

J. Math. Anal. Appl. 509, No. 1, Article ID 125931, 29 p. (2022).

Reviewer: Liping Li (Beijing)

MSC: 60J25 65C40

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Allahverdiev, Bilender P.; Tuna, Hüseyin

One dimensional Dirac operators on time scales. (English) Zbl 1499.34455

Casp. J. Math. Sci. 10, No. 2, 195-209 (2021).

MSC: 34N05 34L10 34L05 34L40

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Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail

Wasserstein convergence rates for random bit approximations of continuous Markov processes. (English) Zbl 1466.60145

J. Math. Anal. Appl. 493, No. 2, Article ID 124543, 31 p. (2021).

MSC: 60J25 60B10 60H10 65C40

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Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail

A functional limit theorem for coin tossing Markov chains. (English. French summary) Zbl 1478.60107

Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 4, 2996-3019 (2020).

MSC: 60F17 60J25 60J60 60H35 60J22

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De Roeck, Wojciech; Huveneers, Francois; Olla, Stefano

Subdiffusion in one-dimensional Hamiltonian chains with sparse interactions. (English) Zbl 1448.81320

J. Stat. Phys. 180, No. 1-6, 678-698 (2020).

MSC: 81Q10 82C20 82C44 82C70 80A19

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Kruse, Thomas; Urusov, Mikhail

Approximating exit times of continuous Markov processes. (English) Zbl 1464.60074

Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3631-3650 (2020).

MSC: 60J22 60J25 60J60 60H35 60F17

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Miclo, Laurent

On the construction of measure-valued dual processes. (English) Zbl 1437.60048

Electron. J. Probab. 25, Paper No. 6, 64 p. (2020).

MSC: 60J60 60H10 60J25 60J10 60J65 05C81

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Crawford, Nicholas; Kozma, Gady

The toom interface via coupling. (English) Zbl 1437.60040

J. Stat. Phys. 179, No. 2, 408-447 (2020).

MSC: 60J10 60K35 60K40

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Allahverdiev, Bilender P.; Tuna, Hüseyin

Eigenfunction expansion in the singular case for Dirac systems on time scales. (English) Zbl 1438.34343

Konuralp J. Math. 7, No. 1, 128-135 (2019).

MSC: 34N05 34L05 34L10 34L40

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Mason, Peter; Zagoskin, Alexandre M.; Betouras, Joseph J.

Time-dependent real-space renormalization-group approach: application to an adiabatic random quantum Ising model. (English) Zbl 1422.82016

J. Phys. A, Math. Theor. 52, No. 4, Article ID 045004, 18 p. (2019).

MSC: 82C20 82C26 82C27 82C44 35Q41 81Q10 81T10 81T17 82D40

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Miclo, Laurent

On the Markov commutator. (English) Zbl 1481.60181

Bull. Sci. Math. 154, 1-35 (2019).

MSC: 60J80 15A27 20N20 39A12

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Gulsen, Tuba; Mawlood Sian, Shaida Saber; Yilmaz, Emrah; Koyunbakan, Hikmet

Impulsive diffusion equation on time scales. (English) Zbl 1399.34300

Int. J. Anal. Appl. 16, No. 1, 137-148 (2018).

MSC: 34N05 34L40 34L05 34B09 34L10 34L15

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Gulsen, Tuba; Yilmaz, Emrah

Spectral theory of Dirac system on time scales. (English) Zbl 1381.34114

Appl. Anal. 96, No. 16, 2684-2694 (2017).

MSC: 34N05 34L40 34L05 34L10 34L15

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Gulsen, Tuba; Yilmaz, Emrah; Goktas, Sertac

Conformable fractional Dirac system on time scales. (English) Zbl 1369.34013

J. Inequal. Appl. 2017, Paper No. 161, 10 p. (2017).

MSC: 34A08 34N05 26A33 34B09 34L05 34L40 34L15

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Lopes, Artur O.; Mohr, Joana

Semiclassical limits, Lagrangian states and coboundary equations. (English) Zbl 1361.81052

Stoch. Dyn. 17, No. 2, Article ID 1750014, 19 p. (2017).

MSC: 81Q20 37C05 37E10 37A60 37D35 37A50 81S25 60J20

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Tuna, Hüseyin; Özek, Mehmet Afşin

The one-dimensional Schrödinger operator on bounded time scales. (English) Zbl 1356.34087

Math. Methods Appl. Sci. 40, No. 1, 78-83 (2017).

MSC: 34L40 34N05 47A20 34L10

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Tuna, Hüseyin

Completeness theorem for the dissipative Sturm-Liouville operator on bounded time scales. (English) Zbl 1369.34111

Indian J. Pure Appl. Math. 47, No. 3, 535-544 (2016).

MSC: 34N05 34L15 34L40 34L10

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Fill, James Allen; Lyzinski, Vince

Strong stationary duality for diffusion processes. (English) Zbl 1386.60272

J. Theor. Probab. 29, No. 4, 1298-1338 (2016).

Reviewer: Vivek S. Borkar (Mumbai)

MSC: 60J60 60J25 60J50

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Coleman, Deidra A.; Martin, Donald E. K.; Reich, Brian J.

Multiple window discrete scan statistic for higher-order Markovian sequences. (English) Zbl 1514.60021

J. Appl. Stat. 42, No. 8, 1690-1705 (2015).

MSC: 60E05 60J22

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Bianchini, D.; Castro-Alvaredo, O.; Doyon, B.; Levi, E.; Ravanini, F.

Entanglement entropy of non-unitary conformal field theory. (English) Zbl 1308.81152

J. Phys. A, Math. Theor. 48, No. 4, Article ID 04FT01, 11 p. (2015).

MSC: 81T40 46C05 94A17 82B20

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Goodrich, Christopher S.

The existence of a positive solution to a second-order delta-nabla $p$-Laplacian BVP on a time scale. (English) Zbl 1235.34241

Appl. Math. Lett. 25, No. 2, 157-162 (2012).

MSC: 34N05 34B18 47N20

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Mehta, Pankaj; Schwab, David J.; Sengupta, Anirvan M.

Statistical mechanics of transcription-factor binding site discovery using hidden Markov models. (English) Zbl 1221.82051

J. Stat. Phys. 142, No. 6, 1187-1205 (2011).

Reviewer: Claudia Simionescu-Badea (Wien)

MSC: 82B31 92D20 60J20 91E40

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Goodrich, Christopher S.

Existence of a positive solution to a first-order $p$-Laplacian BVP on a time scale. (English) Zbl 1236.34112

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1926-1936 (2011).

Reviewer: Nickolai Kosmatov (Little Rock)

MSC: 34N05 34B10 34B15 34B18 47H10

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Liu, Yuji; Shi, Haiping; Liu, Xiuxiang

Multiple positive solutions of time scale boundary value problems on infinite intervals. I. (English) Zbl 1241.34095

Math. Sci. Res. J. 14, No. 11, 236-261 (2010).

Reviewer: Ruyun Ma (Lanzhou)

MSC: 34N05 34B18 34B10 47H10 47N20 34B40

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Liu, Yuji; Shi, Haiping; Liu, Xiuxiang

Multiple positive solutions of time scale boundary value problems on infinite intervals. II. (English) Zbl 1247.34141

Math. Sci. Res. J. 14, No. 12, 271-292 (2010).

Reviewer: Ruyun Ma (Lanzhou)

MSC: 34N05 34B15 34B18 34B10 47N20

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Ruffing, Andreas; Meiler, Maria; Bruder, Andrea

Some basic difference equations of Schrödinger boundary value problems. (English) Zbl 1216.39008

Adv. Difference Equ. 2009, Article ID 569803, 22 p. (2009).

MSC: 39A12 34N05 34L40

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Axelson-Fisk, Marina; Häggström, Olle

Conditional percolation on one-dimensional lattices. (English) Zbl 1196.60159

Adv. Appl. Probab. 41, No. 4, 1102-1122 (2009).

Reviewer: Piotr Garbaczewski (Opole)

MSC: 60K35 82B43 60J10

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Cresti, Alessandro

Holstein model and Datta model of dephasing in one-dimensional chains. (English) Zbl 1214.82095

Ann. Phys. 323, No. 11, 2881-2891 (2008).

MSC: 82C70 82D99

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Phillips, James M.; Dash, J. G.

Thermal disorder, fluctuations, growth and fragmentation of finite one-dimensional atomic chains. (English) Zbl 1079.82558

J. Stat. Phys. 120, No. 3-4, 721-735 (2005).

MSC: 82D20

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Pınar, Ali; Aykanat, Cevdet

Fast optimal load balancing algorithms for 1D partitioning. (English) Zbl 1068.68038

J. Parallel Distrib. Comput. 64, No. 8, 974-996 (2004).

MSC: 68M20

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Arov, D. Z.

Scattering matrix and impedance of a canonical differential system with a dissipative boundary condition whose coefficient is a rational matrix-valued function of the spectral parameter. (English. Russian original) Zbl 1017.34084

St. Petersbg. Math. J. 13, No. 4, 527-547 (2002); translation from Algebra Anal. 13, No. 4, 26-53 (2001).

Reviewer: Miloslav Znojil (Řež)

MSC: 34L25 34A55 34L40

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Belavin, A. A.; Usmanov, R. A.

The minimal LM(3,4) lattice model and the two-dimensional Ising model with cylindrical boundary conditions. (English. Russian original) Zbl 1018.82003

Theor. Math. Phys. 126, No. 1, 48-65 (2001); translation from Teor. Mat. Fiz. 126, No. 1, 63-83 (2001).

MSC: 82B20 82B28

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Aizenman, M.; Goldstein, S.; Lebowitz, J. L.

Bounded fluctuations and translation symmetry breaking in one-dimensional particle systems. (English) Zbl 0999.82030

J. Stat. Phys. 103, No. 3-4, 601-618 (2001).

MSC: 82B26 82B10 82B05

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Bratteli, O.; Jørgensen, P. E. T.; Kishimoto, A.; Werner, R. F.

Pure states on ${\mathcal O}_{d}$. (English) Zbl 0992.46044

J. Oper. Theory 43, No. 1, 97-143 (2000).

MSC: 46L30 46L55 46L89 47A13 47A67

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Loutsenko, Igor; Spiridonov, Vyacheslav

Self-similarity in spectral problems and $q$-special functions. (English) Zbl 0962.33012

Levi, Decio (ed.) et al., SIDE III - Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16-22, 1998. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 25, 273-293 (2000).

Reviewer: Miloslav Znojil (Řež)

MSC: 33D80 81R30 82B20

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Ramanan, Kavita; Zeitouni, Ofer

The quasi-stationary distribution for small random perturbations of certain one-dimensional maps. (English) Zbl 0997.60074

Stochastic Processes Appl. 84, No. 1, 25-51 (1999).

MSC: 60J10 37D20

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Henderson, J.; Prasad, K. R.

Comparison of eigenvalues for Lidstone boundary value problems on a measure chain. (English) Zbl 1010.34079

Comput. Math. Appl. 38, No. 11-12, 55-62 (1999).

Reviewer: Gheorghe Moroşanu (Iaşi)

MSC: 34L15 34L40

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Filip, Anne-Marie; Venakides, Stephanos

Existence and modulation of traveling waves in particle chains. (English) Zbl 0928.34010

Commun. Pure Appl. Math. 52, No. 6, 0693-0735 (1999).

MSC: 34A35 81V19 35Q40 34L40

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Dargis, P.; Maassarani, Z.

Fermionization and Hubbard models. (English) Zbl 0953.82008

Nucl. Phys., B 535, No. 3, 681-708 (1998).

MSC: 82B20 82B23 81R05 17B81

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Spiridonov, Vyacheslav

Symmetries of factorization chains for the discrete Schrödinger equation. (English) Zbl 0956.39014

J. Phys. A, Math. Gen. 30, No. 2, L15-L21 (1997).

Reviewer: Patricia J.Y.Wong (Singapore)

MSC: 39A12 39A11 34L40 42C05

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Henkel, Malte; Orlandini, Enzo; Santos, Jaime

Reaction-diffusion processes from equivalent integrable quantum chains. (English) Zbl 0966.82011

Ann. Phys. 259, No. 2, 163-231 (1997).

MSC: 82C10 82C20

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Menon, Gautam I.; Barma, Mustansir; Dhar, Deepak

Conservation laws and integrability of a one-dimensional model of diffusing dimers. (English) Zbl 0935.82024

J. Stat. Phys. 86, No. 5-6, 1237-1263 (1997).

MSC: 82C20 82C10

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Xie, Wei-Chau; Wang, Xing

Vibration mode localization in one-dimensional systems. (English) Zbl 0908.73043

AIAA J. 35, No. 10, 1645-1652 (1997).

MSC: 74H45 74K10

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Allouche, Jean-Paul; Mendès France, M.

Automata and automatic sequences. (English) Zbl 0881.11026

Axel, Françoise (ed.) et al., Beyond quasicrystals. Papers of the winter school, Les Houches, France, March 7-18, 1994. Berlin: Springer-Verlag. 293-367 (1995).

Reviewer: M.Baake (Tübingen)

MSC: 11B85 68Q45 42A75 82B44

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Banzhaf, Wolfgang

Self-replicating sequences of binary numbers. Foundations. I: General. (English) Zbl 0776.92012

Biol. Cybern. 69, No. 4, 269-274 (1993).

MSC: 92D20 68U99

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Hood, Kevin

A numerical method for finding the ground states of one-dimensional systems. (English) Zbl 0704.65099

J. Comput. Phys. 89, No. 1, 187-206 (1990).

Reviewer: V.Brčić

MSC: 65Z05 35Q40 81Q05

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Golubyatnikov, A. N.; Plotnikov, S. I.

Separation of energy from mass in inhomogeneous discrete mechanical systems. (English. Russian original) Zbl 0712.70017

Sov. Phys., Dokl. 34, No. 11, 993-994 (1989); translation from Dokl. Akad. Nauk SSSR 309, No. 3, 559-562 (1989).

MSC: 70F10 70F35 70J99 82B20 82C20

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Zaslavskii, G. M.; Sagdeev, R. Z.

Introduction to nonlinear physics. From the pendulum to turbulence and chaos. (Введение в нелинеиную физику. От маятника до турбулентности и хаоса.) (Russian) Zbl 0709.58003

Moskva: Nauka. 368 p. R. 3.20 (1988).

Reviewer: M.Lyubich

MSC: 37-01 37Nxx 37J35 37K10 37J40 37A99 37G99 37D45 35Q53 70Kxx 76B15 76F20 78A35 81Q05

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Rittenberg, V.

Finite-size scaling and irreducible representations of Virasoro algebras. (English) Zbl 0743.17026

Infinite-dimensional Lie algebras and their applications, Proc. Workshop, Montréal /Can. 1986, 189-207 (1988).

MSC: 17B68 81R10 82B20

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Cottrell, Marie; Fort, Jean-Claude

Étude d’un processus d’auto-organisation. (Study of a self-organization process). (French) Zbl 0605.92002

Ann. Inst. Henri Poincaré, Probab. Stat. 23, 1-20 (1987).

MSC: 92B05 60J10 92F05 92Cxx

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Full Text: Numdam EuDML

Dai, Yonglong; Liu, Xijian

One-dimensional spin systems (finite systems). (Chinese. English summary) Zbl 0578.60100

Chin. J. Appl. Probab. Stat. 1, No. 1, 31-42 (1985).

Reviewer: Z.Wang

MSC: 60K35 60J10

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Galvez, F. J.; Dehesa, J. S.

Novel properties of Fibonacci and Lucas polynomials. (English) Zbl 0555.10004

Math. Proc. Camb. Philos. Soc. 97, 159-164 (1985).

Reviewer: A.N.Philippou

MSC: 11B39 11B37

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Axelrad, D. R.; Ostoja-Starzewski, M.

Probabilistic approach to the wave propagation in structured solids. (English) Zbl 0553.73005

Int. J. Eng. Sci. 22, 1123-1133 (1984).

MSC: 74A40 74J99 82D25 60G10 60J20

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Kunin, Isaak A.

Elastic media with microstructure. I: One-dimensional models. (Transl. from the Russian). (English) Zbl 0527.73002

Springer Series in Solid-State Sciences, Vol. 26. Berlin-Heidelberg-New York: Springer-Verlag. VIII, 291 p., 45 figs. DM 98.00; $ 43.60 (1982).

MSC: 74A35 74-02 82D25 74A40 74A60 74M25 74J20 35Q99

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Evans, Richard V.

Markov chain design problems. (English) Zbl 0467.90030

Oper. Res. 29, 959-970 (1981).

MSC: 90B22 60K25 60J20 60J10 90C90 90C40

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Alexander, S.; Bernasconi, J.; Schneider, W. R.; Orbach, R.

Excitation dynamics in random one-dimensional systems. (English) Zbl 0465.76083

Physics in one dimension, Proc. int. Conf., Fribourg/Switz. 1980, Springer Ser. Solid-State Sci. 23, 277-288 (1981).

MSC: 76R99 82B20 82D30 82C70 60J40

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Bassiouny, A. K.

A non-translationally invariant spherical model with random bonds. (English) Zbl 0464.73006

Z. Angew. Math. Phys. 32, 115-120 (1981).

MSC: 74A40 82B20 74A15 82D30 74F15

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Found 66 Documents (Results 1–66)

Mixing time and cutoff for one-dimensional particle systems. (English) Zbl 1540.60169

Impulsive Dirac system on time scales. (English) Zbl 1531.34085

On the resolvent operator of dynamic Dirac operators. (English) Zbl 1530.34074

Wave turbulence and thermalization in one-dimensional chains. (English) Zbl 07771889

Titchmarsh-Weyl theory for impulsive dynamic Dirac system. (English) Zbl 1525.34125

Edge modes in subwavelength resonators in one dimension. (English) Zbl 1522.35057

Conformable fractional dynamic Dirac system. (English) Zbl 1518.34091

The behavior of many-body localization of quasi-disordered spin-\(1/2\) chains. (English) Zbl 1494.82023

On expansion in eigenfunction for Dirac systems on the unbounded time scales. (English) Zbl 1494.34193

Properties of the EMCEL scheme for approximating irregular diffusions. (English) Zbl 1484.60082

One dimensional Dirac operators on time scales. (English) Zbl 1499.34455

Wasserstein convergence rates for random bit approximations of continuous Markov processes. (English) Zbl 1466.60145

A functional limit theorem for coin tossing Markov chains. (English. French summary) Zbl 1478.60107

Subdiffusion in one-dimensional Hamiltonian chains with sparse interactions. (English) Zbl 1448.81320

Approximating exit times of continuous Markov processes. (English) Zbl 1464.60074

On the construction of measure-valued dual processes. (English) Zbl 1437.60048

The toom interface via coupling. (English) Zbl 1437.60040

Eigenfunction expansion in the singular case for Dirac systems on time scales. (English) Zbl 1438.34343

Time-dependent real-space renormalization-group approach: application to an adiabatic random quantum Ising model. (English) Zbl 1422.82016

On the Markov commutator. (English) Zbl 1481.60181

Impulsive diffusion equation on time scales. (English) Zbl 1399.34300

Spectral theory of Dirac system on time scales. (English) Zbl 1381.34114

Conformable fractional Dirac system on time scales. (English) Zbl 1369.34013

Semiclassical limits, Lagrangian states and coboundary equations. (English) Zbl 1361.81052

The one-dimensional Schrödinger operator on bounded time scales. (English) Zbl 1356.34087

Completeness theorem for the dissipative Sturm-Liouville operator on bounded time scales. (English) Zbl 1369.34111

Strong stationary duality for diffusion processes. (English) Zbl 1386.60272

Multiple window discrete scan statistic for higher-order Markovian sequences. (English) Zbl 1514.60021

Entanglement entropy of non-unitary conformal field theory. (English) Zbl 1308.81152

The existence of a positive solution to a second-order delta-nabla \(p\)-Laplacian BVP on a time scale. (English) Zbl 1235.34241

Statistical mechanics of transcription-factor binding site discovery using hidden Markov models. (English) Zbl 1221.82051

Existence of a positive solution to a first-order \(p\)-Laplacian BVP on a time scale. (English) Zbl 1236.34112

Multiple positive solutions of time scale boundary value problems on infinite intervals. I. (English) Zbl 1241.34095

Multiple positive solutions of time scale boundary value problems on infinite intervals. II. (English) Zbl 1247.34141

Some basic difference equations of Schrödinger boundary value problems. (English) Zbl 1216.39008

Conditional percolation on one-dimensional lattices. (English) Zbl 1196.60159

Holstein model and Datta model of dephasing in one-dimensional chains. (English) Zbl 1214.82095

Thermal disorder, fluctuations, growth and fragmentation of finite one-dimensional atomic chains. (English) Zbl 1079.82558

Fast optimal load balancing algorithms for 1D partitioning. (English) Zbl 1068.68038

Scattering matrix and impedance of a canonical differential system with a dissipative boundary condition whose coefficient is a rational matrix-valued function of the spectral parameter. (English. Russian original) Zbl 1017.34084

The minimal LM(3,4) lattice model and the two-dimensional Ising model with cylindrical boundary conditions. (English. Russian original) Zbl 1018.82003

Bounded fluctuations and translation symmetry breaking in one-dimensional particle systems. (English) Zbl 0999.82030

Pure states on \({\mathcal O}_{d}\). (English) Zbl 0992.46044

Self-similarity in spectral problems and \(q\)-special functions. (English) Zbl 0962.33012

The quasi-stationary distribution for small random perturbations of certain one-dimensional maps. (English) Zbl 0997.60074

Comparison of eigenvalues for Lidstone boundary value problems on a measure chain. (English) Zbl 1010.34079

Existence and modulation of traveling waves in particle chains. (English) Zbl 0928.34010

Fermionization and Hubbard models. (English) Zbl 0953.82008

Symmetries of factorization chains for the discrete Schrödinger equation. (English) Zbl 0956.39014

Reaction-diffusion processes from equivalent integrable quantum chains. (English) Zbl 0966.82011

Conservation laws and integrability of a one-dimensional model of diffusing dimers. (English) Zbl 0935.82024

Vibration mode localization in one-dimensional systems. (English) Zbl 0908.73043

Automata and automatic sequences. (English) Zbl 0881.11026

Self-replicating sequences of binary numbers. Foundations. I: General. (English) Zbl 0776.92012

A numerical method for finding the ground states of one-dimensional systems. (English) Zbl 0704.65099

Separation of energy from mass in inhomogeneous discrete mechanical systems. (English. Russian original) Zbl 0712.70017

Introduction to nonlinear physics. From the pendulum to turbulence and chaos. (Введение в нелинеиную физику. От маятника до турбулентности и хаоса.) (Russian) Zbl 0709.58003

Finite-size scaling and irreducible representations of Virasoro algebras. (English) Zbl 0743.17026

Étude d’un processus d’auto-organisation. (Study of a self-organization process). (French) Zbl 0605.92002

One-dimensional spin systems (finite systems). (Chinese. English summary) Zbl 0578.60100

Novel properties of Fibonacci and Lucas polynomials. (English) Zbl 0555.10004

Probabilistic approach to the wave propagation in structured solids. (English) Zbl 0553.73005

Elastic media with microstructure. I: One-dimensional models. (Transl. from the Russian). (English) Zbl 0527.73002

Markov chain design problems. (English) Zbl 0467.90030

Excitation dynamics in random one-dimensional systems. (English) Zbl 0465.76083

A non-translationally invariant spherical model with random bonds. (English) Zbl 0464.73006

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