Found 265 Documents (Results 1–100)
An invitation to \(\mathrm{SL}_2(\mathbb{R})\) cocycles over random dynamics. (English) Zbl 1540.37074
Dias, João Lopes (ed.) et al., New trends in Lyapunov exponents. NTLE. Selected papers based on the presentations at the workshop, Lisbon, Portugal, February 7–11, 2022. Cham: Springer. CIM Ser. Math. Sci, 19-75 (2023).
On Gustafson integrals for the group \(\mathrm{SL}(2,\mathbb{R} )\). (English. Russian original) Zbl 1542.22017
J. Math. Sci., New York 275, No. 3, 299-305 (2023); translation from Zap. Nauchn. Semin. POMI 509, 113-122 (2021).
Reviewer: Yunfeng Zhang (Beijing)
Racah coefficients for the group \(\operatorname{SL}(2,\mathbb{R} )\). (English. Russian original) Zbl 1537.22032
J. Math. Sci., New York 275, No. 3, 289-298 (2023); translation from Zap. Nauchn. Semin. POMI 509, 99-112 (2021).
Reviewer: Dmitry Artamonov (Moskva)
The functional equations of Langlands Eisenstein series for \(\mathrm{SL} (n,\mathbb{Z})\). (English) Zbl 07786156
Reviewer: Nikolaos Diamantis (Nottingham)
Invariant projective properties under the action of the Lie group \(\mathrm{SL}(3; \mathbb{R})\) on \(\mathbb{RP}^2\). (English) Zbl 1515.22004
Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds. (English) Zbl 1510.22006
Reviewer: Thilo Kuessner (Eichstätt)
Zimmer’s conjecture: subexponential growth, measure rigidity, and strong property (T). (English) Zbl 1508.22013
Reviewer: Thilo Kuessner (Eichstätt)
Parameter spaces of locally constant cocycles. (English) Zbl 1505.37044
Reviewer: Ivan Podvigin (Novosibirsk)
Dynamical invariants and intersection theory on the flex and gothic loci. (English) Zbl 1495.14042
Reviewer: Scott Nollet (Fort Worth)
Guichardet-Wigner pseudocharacter on the universal covering group of \(\mathrm{SL}(2,\mathbb{R})\) has a nontrivial restriction to the preimage of \(\mathrm{SL}(2,\mathbb{Z})\). (English) Zbl 1539.22002
MSC:
22E46
Zimmer’s conjecture (from Brown, Fisher and Hurtado). (La conjecture de Zimmer (d’après Brown, Fisher et Hurtado).) (French) Zbl 1498.22019
Reviewer: Thilo Kuessner (Augsburg)
Geometric invariants under the Möbius action of the group \(SL(2;\mathbb{R})\). (English) Zbl 1499.57023
New parameterizations of \(\mathrm{SL}(2,\mathbb{R})\) and some explicit formulas for its logarithm. (English) Zbl 1489.22014
Reviewer: Salah Mehdi (Metz)
Irreducible flat \(\operatorname{SL}(2, \mathbb{R})\)-connections on the trivial holomorphic bundle. (English. French summary) Zbl 1462.30079
MSC:
30F10
Fourier transform on the Lobachevsky plane and operational calculus. (English. Russian original) Zbl 1508.22011
Funct. Anal. Appl. 54, No. 4, 278-286 (2020); translation from Funkts. Anal. Prilozh. 54, No. 4, 64-73 (2020).
Reviewer: Sergei S. Platonov (Petrozavodsk)
Projective cocycles over \(\operatorname{SL}(2,\mathbb{R})\) actions: measures invariant under the upper triangular group. (English) Zbl 1470.37042
Crovisier, Sylvain (ed.) et al., Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz. Volume I. Paris: Société Mathématique de France (SMF). Astérisque 415, 157-180 (2020).
A discreteness algorithm for 4-punctured sphere groups. (English) Zbl 1460.57024
Ortega, Omayra (ed.) et al., The golden anniversary celebration of the National Association of Mathematicians. AMS special session on the mathematics of historically black colleges and universities, HBCUs in the Mid-Atlantic. MAA invited paper session on the past 50 years of African Americans in the mathematical sciences. Haynes-Granville-Browne session of presentations by recent doctoral recipients. 2019 Claytor-Wookdard lecture. NAM David Harold Blackwell lecture, Baltimore, MD, USA and Cincinnati, OH, USA, January 17, 18 and 19 and August 2, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 759, 103-123 (2020).
Reviewer: Joonhyung Kim (Jeonju)
On globally hypoelliptic abelian actions and their existence on homogeneous spaces. (English) Zbl 1454.37027
Recent progress in the Zimmer program. (English) Zbl 1478.22016
Jerison, David (ed.) et al., Current developments in mathematics 2018. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, 2018. Somerville, MA: International Press. 1-56 (2020).
Zimmer’s conjecture for actions of \(\mathrm{SL}(m,\mathbb{Z})\). (English) Zbl 1482.22023
Reviewer: Parviz Ahmadi (Zanjan)
Diagonal actions in positive characteristic. (English) Zbl 1458.37039
Reviewer: Athanase Papadopoulos (Strasbourg)
On the non-vanishing of \(L\)-functions associated to cusp forms of half-integral weight. (English) Zbl 1439.11123
Reviewer: Ilker Inam (Bilecik)
Automorphism groups of dense subgroups of \(\mathbb{R}^n\). (English) Zbl 1443.22003
Reviewer: Mihail I. Ursul (Oradea)
Recent progress concerning Zimmer program [after A. Brown, D. Fisher, and S. Hurtado]. (Progrès récents concernant le programme de Zimmer [d’après A. Brown, D. Fisher, et S. Hurtado].) (French) Zbl 1485.22021
Séminaire Bourbaki. Volume 2017/2018. Exposés 1136–1150. Paris: Société Mathématique de France (SMF). Astérisque 414, 1-48, Exp. No. 1136 (2019).
Reviewer: Thilo Kuessner (Augsburg)
Two-dimensional quaternion linear canonical transform: properties, convolution, correlation, and uncertainty principle. (English) Zbl 1454.42007
Reviewer: Joseph Lakey (Las Cruces)
Orbit classification and asymptotic constants for \(d\)-symmetric covers. (English) Zbl 1431.14020
Hawkins, Jane (ed.) et al., Dynamical systems and random processes, 16th Carolina dynamics symposium, Agnes Scott College, Decatur, Georgia, April 13–15, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 736, 201-238 (2019).
Reviewer: Jayadev Athreya (Seattle)
Entropy, Lyapunov exponents, and rigidity of group actions. Based on the workshop for young researchers: groups acting on manifolds, Teresópolis, Brazil, June 2016. Edited by Michele Triestino. With appendices by Dominique Malicet, Davi Obata, Bruno Santiago, Michele Triestino, Sébastien Alvarez and Mario Roldán. (English) Zbl 1435.22015
Ensaios Matemáticos 33. Rio de Janeiro: Sociedade Brasileira de Matemática (SBM) (ISBN 978-85-8337-159-5/pbk). 197 p., open access (2019).
Reviewer: Ivan Podvigin (Novosibirsk)
Weak-type estimates for the metaplectic representation restricted to the shearing and dilation subgroup of \(\mathrm{SL}(2,\mathbb{R})\). (English) Zbl 1421.43002
Boggiatto, Paolo (ed.) et al., Landscapes of time-frequency analysis. Based on talks given at the inaugural conference on aspects of time-frequency analysis, Turin, Italy, July 5–7, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 59-73 (2019).
Reviewer: Koichi Saka (Akita)
Dynamics of certain distal actions on spheres. (English) Zbl 1420.37013
Real Anal. Exch. 44, No. 1, 77-88 (2019); errata ibid. 47, No. 2, 467-468 (2022).
Reviewer: Marta Macho Stadler (Leioa)
Measure rigidity for solvable group actions in the space of lattices. (English) Zbl 1427.37002
Reviewer: Jayadev Athreya (Seattle)
A new approach on constant angle surfaces in the special linear group. (English) Zbl 1417.53006
MSC:
53A05
Dynamics on the space of 2-lattices in 3-space. (English) Zbl 1421.22007
Reviewer: Thomas B. Ward (Leeds)
Cohomological equation and cocycle rigidity of discrete parabolic actions. (English) Zbl 1419.37030
Reviewer: Jayadev Athreya (Seattle)
The Lie algebra \(\mathfrak{sl}(2,\mathbb{R})\) and Noether point symmetries of Lagrangian systems. (English) Zbl 1461.70022
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 20th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2–7, 2018. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 20, 99-114 (2019).
Reviewer: Margarida Camarinha (Coimbra)
Near actions. arXiv:1901.05065
Preprint, arXiv:1901.05065 [math.GR] (2019).
MSC:
20B07
20B27
03E05
03E15
03G05
05C63
06E15
18B05
20B30
20F65
20M18
20M20
20M30
22F05
22F50
37C85
The sum of the interior angles in geodesic and translation triangles of \(\widetilde{\mathrm{SL}_2(\mathbb{R})}\) geometry. (English) Zbl 1499.52028
Kloosterman sums, disjointness, and equidistribution. (English) Zbl 1403.37007
Ferenczi, Sébastien (ed.) et al., Ergodic theory and dynamical systems in their interactions with arithmetics and combinatorics. Lecture notes from the workshops held at the CIRM Jean-Morlet Chair, Marseille, France, Fall 2016. Cham: Springer; Paris: Société Mathématique de France SMF) (ISBN 978-3-319-74907-5/pbk; 978-2-85629-875-6; 978-3-319-74908-2/ebook). Lecture Notes in Mathematics 2213, 137-161 (2018).
Restriction of the Guichardet-Wigner pseudocharacter on \(\mathrm{SL} (2, {\mathbb R})\) to a subgroup covering \(\mathrm{SL}(2, {\mathbb Z})\). (English) Zbl 1404.22012
Tensor products of some irreducible unitary representations of the universal covering group of \(\mathrm{SU}(1, 1)\) that define representations of \(\mathrm{SU} (1, 1)\). (English) Zbl 1413.22005
Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space. (English) Zbl 1478.37002
Reviewer: Paolo Giulietti (Pisa)
Symmetric Riemannian problem on the group of proper isometries of hyperbolic plane. (English) Zbl 1395.53061
The Lagrange spectrum of some square-tiled surfaces. (English) Zbl 1393.37045
Reviewer: Marta Macho Stadler (Leioa)
Affine invariant submanifolds with completely degenerate Kontsevich-Zorich spectrum. (English) Zbl 1390.37047
On five dimensional Sasakian Lie algebras with trivial center. (English) Zbl 1391.53065
Reviewer: Jacques Faraut (Paris)
Quaternionic covers and monodromy of the Kontsevich-Zorich cocycle in orthogonal groups. (English) Zbl 1388.37030
Reviewer: Jayadev Athreya (Seattle)
Uniformly bounded representations and completely bounded multipliers of \(\mathrm{SL}(2,\mathbb{R})\). (English) Zbl 1432.43004
A classification of radial or totally geodesic ends of real projective orbifolds. I: A survey of results. (English) Zbl 1446.57018
Fujiwara, Koji (ed.) et al., Hyperbolic geometry and geometric group theory. Proceedings of the 7th Seasonal Institute of the Mathematical Society of Japan (MSJ-SI), Tokyo, Japan, July 30 – August 5, 2014. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 73, 69-134 (2017).
On the rate of equidistribution of expanding horospheres in finite-volume quotients of \(\mathrm{SL}(2,\mathbb{C})\). (English) Zbl 1402.37043
The convex real projective orbifolds with radial or totally geodesic ends: a survey of some partial results. (English) Zbl 1394.57014
Basmajian, Ara S. (ed.) et al., In the tradition of Ahlfors-Bers, VII. Proceedings of the 6th Ahlfors-Bers colloquium, Yale University, New Haven, CT, USA, October 23–26, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2651-4/pbk; 978-1-4704-4198-2/ebook). Contemporary Mathematics 696, 51-85 (2017).
Reviewer: Arielle Leitner (Rehovot)
Lie point symmetry analysis of a second order differential equation with singularity. (English) Zbl 1377.34045
Reviewer: Mircea Crâşmăreanu (Iaşi)
Mackey analogy via \(\mathcal{D}\)-modules for \(\mathrm{SL}(2,\mathbb{R})\). (English) Zbl 1372.22010
Reviewer: Dmitry Artamonov (Moskva)
Matrices of \(\mathrm{SL}(4,\mathbb R)\) that are the product of two skew-symmetric matrices. (English) Zbl 1369.15024
Reviewer: Janko Marovt (Maribor)
Pseudo-differential operators on the affine group. (English) Zbl 1377.47018
Wong, M.-W. (ed.) et al., Pseudo-differential operators: groups, geometry and applications. Selected papers based on the presentations at the 10th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), University of Macau, China, August 3–8, 2015 and the 8th international congress on industrial and applied mathematics, ICIAM, Beijing, China, August 10–14, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-47511-0/hbk; 978-3-319-47512-7/ebook). Trends in Mathematics, 1-14 (2017).
The vacuum distributions of the truncated Virasoro fields are products of gamma distributions. (English) Zbl 1362.81065
Riley’s conjecture on \(\mathrm{SL}(2,R)\) representations of 2-bridge knots. (English) Zbl 1362.57006
Reviewer: Kenneth A. Perko Jr. (New York)
MSC:
57M25
57M12
The eta function of the localised Dirac operator for the universal cover of \(\mathrm{SL}_2(\mathbb{R})\). (English) Zbl 1367.58015
Reviewer: Peter B. Gilkey (Eugene)
Pointwise equidistribution with an error rate and with respect to unbounded functions. (English) Zbl 1417.37056
Square-integrability of metaplectic wave-packet representations on \(L^2(\mathbb{R})\). (English) Zbl 1359.42017
Reviewer: Yogesh Sharma (Sardarpura)
MSC:
42C40
Rigidity of \(\mathrm{SL}_2(\mathbb R)\)-orbits in the moduli spaces of flat surfaces (after Eskin, Mirzakhani, and Mohammadi). (Rigidité des \(\mathrm{SL}_2(\mathbb R)\)-orbites dans les espaces de modules de surfaces plates [d’après Eskin, Mirzakhani et Mohammadi].) (French) Zbl 1470.58003
Séminaire Bourbaki. Volume 2014/2015. Exposés 1089–1103. Paris: Société Mathématique de France (SMF). Astérisque 380, 83-138, Exp. No. 1092 (2016).
Gap distributions and homogeneous dynamics. (English) Zbl 1364.37006
Aravinda, C. S. (ed.) et al., Geometry, topology, and dynamics in negative curvature. Proceedings of the ICM 2010 satellite conference, Raman Research Institute, Bangalore, India, August 2–7, 2010. Cambridge: Cambridge University Press (ISBN 978-1-107-52900-7/pbk; 978-1-316-27584-9/ebook). London Mathematical Society Lecture Note Series 425, 1-31 (2016).
Projective structure, \(\widetilde{\operatorname{SL}}(3,\mathbb{R})\) and the symplectic Dirac operator. (English) Zbl 1389.53082
Reviewer: Andreas Arvanitoyeorgos (Patras)
Classifying GL\((n,\mathbb{Z})\)-orbits of points and rational subspaces. (English) Zbl 1369.37034
Reviewer: Marta Macho Stadler (Leioa)
Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund’s theorem. (English) Zbl 1379.37063
Reviewer: Patrick Eberlein (Chapel Hill)
Advances in non-Archimedean Analysis. 13th international conference on \(p\)-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014. (English) Zbl 1343.00036
Contemporary Mathematics 665. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1988-2/pbk; 978-1-4704-3204-1/ebook). vii, 335 p. (2016).
A generalized Dirac soliton hierarchy and its bi-Hamiltonian structure. (English) Zbl 1338.37097
MSC:
37K10
The local spectrum of the Dirac operator for the universal cover of \(\mathrm{SL}_2(\mathbb R)\). (English) Zbl 1336.22011
Reviewer: Le Anh Vu (Ho Chi Minh City)
A counterexample to the reciprocal of Forni criterion about positivity of Lyapunov exponents of the Kontsevich-Zorich cocycle. (Un contre-exemple à la réciproque du critère de Forni pour la positivité des exposants de Lyapunov du cocycle de Kontsevich-Zorich.) (French. English summary) Zbl 1360.37087
Reviewer: José Javier Etayo (Madrid)
The gap distribution of slopes on the golden \(L\). (English) Zbl 1332.37027
Bhattacharya, Siddhartha (ed.) et al., Recent trends in ergodic theory and dynamical systems. International conference in honor of S. G. Dani’s 65th birthday, Vadodara, India, December 26–29, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-0931-9/pbk; 978-1-4704-2219-6/ebook). Contemporary Mathematics 631, 47-62 (2015).
New integrable \(\mathrm{sl}(2,\mathbb{R})\)-generalization of the classical Wadati-Konno-Ichikawa hierarchy. (English) Zbl 1329.37071
MSC:
37K10
Constructing a new geometric numerical integration method to the nonlinear heat transfer equations. (English) Zbl 1334.80015
Monotonic cocycles. (English) Zbl 1356.37070
Reviewer: Guy Jumarie (Montréal)
Finsler \(N\)-spinors with real components. (English. Russian original) Zbl 1327.81228
Theor. Math. Phys. 183, No. 3, 756-767 (2015); translation from Teor. Mat. Fiz. 183, No. 3, 359-371 (2015).
Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space. (English) Zbl 1357.37040
Reviewer: Jayadev Athreya (Seattle)
Every flat surface is Birkhoff and Oseledets generic in almost every direction. (English) Zbl 1358.37008
Some arithmetic groups that do not act on the circle. (English) Zbl 1440.20014
Bestvina, Mladen (ed.) et al., Geometric group theory. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) Graduate Summer School, Princeton, NJ, USA, 2012. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study (IAS). IAS/Park City Math. Ser. 21, 207-248 (2014).
Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards. (English) Zbl 1377.37057
Reviewer: Jacques Franchi (Strasbourg)
Distribution of orbits in \(\mathbb{R}^{2}\) of a finitely generated group of \(\mathrm{SL}(2,\mathbb{R})\). (English) Zbl 1348.37052
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