Applications of some formulas for finite Markov chains. (English) Zbl 1211.60033
Reviewer: Gabriel V. Orman (Braşov)
Found 748 Documents (Results 301–400)
Quantum mechanics and quantum field theory. A mathematical primer. (English) Zbl 1218.81001
Cambridge: Cambridge University Press (ISBN 978-1-107-00509-9/hbk; 978-1-139-00581-4/ebook). xi, 226 p. (2011).
Reviewer: Dimitar A. Kolev (Sofia)
Feynman-Kac-type theorems and Gibbs measures on path space. With applications to rigorous quantum field theory. (English) Zbl 1236.81003
de Gruyter Studies in Mathematics 34. Berlin: de Gruyter (ISBN 978-3-11-020148-2/hbk; 978-3-11-020373-8/ebook). xi, 505 p. (2011).
Reviewer: Stefan Weinzierl (Mainz)
Schwartz kernel asymptotics and regularized traces of diffusion semigroups. (English. Russian original) Zbl 1271.47034
Funct. Anal. Appl. 44, No. 1, 76-80 (2010); translation from Funkts. Anal. Prilozh. 44, No. 1, 90-96 (2010).
MSC:
47D07
Heat kernel short-time expansion within the scope of Feynman-Kac formula. (English) Zbl 1260.81085
Kielanowski, Piotr (ed.) et al., XXIX workshop on geometric methods in physics, Białowieża, Poland, June 27 – July 3, 2010. Selected papers based on the presentations at the workshop. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0861-6/hbk). AIP Conference Proceedings 1307, 157-162 (2010).
Weak approximation of obliquely reflected diffusions in time-dependent domains. (English) Zbl 1240.65011
Stochastic modeling and filtering of discrete measurements for a turbulent field application to measurements of atmospheric wind. (English) Zbl 1245.86006
Reviewer: Nikolaos Halidias (Athens)
Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice. (English) Zbl 1210.82013
The Feynman-Kac formula for Schrödinger operators on vector bundles over complete manifolds. (English) Zbl 1207.53050
On a probabilistic interpretation of shape derivatives of Dirichlet groundstates with application to fermion nodes. (English) Zbl 1209.65010
Reviewer: Cyril Fischer (Praha)
Unicity of the integrated density of states for relativistic Schrödinger operators with regular magnetic fields and singular electric potentials. (English) Zbl 1204.81067
Reviewer: Miyeon Kwon (Platteville, WI)
Perturbation theory for convolution semigroups. (English) Zbl 1194.47049
Reviewer: Michael Perelmuter (Kyïv)
Almost sure finiteness for the total occupation time of an \((d,\alpha ,\beta )\)-superprocess. (English) Zbl 1203.60124
Feynman–Kac formula, \(\lambda\)-Poisson kernels and \(\lambda\)-Green functions of half-spaces and balls in hyperbolic spaces. (English) Zbl 1196.60138
Reviewer: Liliana Popa (Iaşi)
On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities. (English) Zbl 1193.35022
Laptev, Ari (ed.), Around the research of Vladimir Maz’ya. III. Analysis and applications. Dordrecht: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-1-4419-1344-9/hbk; 978-1-4419-1345-6/ebook; 978-5-9018-7343-4/hbk). International Mathematical Series (New York) 13, 201-246 (2010).
Reviewer: Denis A. White (Toledo)
\(L^p\) estimates for Feynman-Kac propagators with time-dependent reference measures. (English) Zbl 1200.60063
Reviewer: Ion C. Vladimirescu (Craiova)
Two-sided estimates for the trace of the difference of two semigroups. (English. Russian original) Zbl 1271.47035
Funct. Anal. Appl. 43, No. 3, 184-189 (2009); translation from Funkts. Anal. Prilozh. 43, No. 3, 26-32 (2009).
MSC:
47D08
Markov process representations for polyharmonic functions. (English. Russian original) Zbl 1214.60030
Theory Probab. Appl. 54, No. 2, 317-322 (2010); translation from Teor. Veroyatn. Primen. 54, No. 2, 354-359 (2009).
Stochastic spectral formulations for elliptic problems. (English) Zbl 1184.65006
L’ Ecuyer, Pierre (ed.) et al., Monte Carlo and quasi-Monte Carlo methods 2008. Proceedings of the 8th international conference Monte Carlo and quasi-Monte Carlo methods in scientific computing, Montréal, Canada, July 6–11, 2008. Berlin: Springer (ISBN 978-3-642-04106-8/hbk). 513-528 (2009).
Random walk intersections. Large deviations and related topics. (English) Zbl 1192.60002
Mathematical Surveys and Monographs 157. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4820-3/hbk). x, 332 p. (2009).
Reviewer: Guy Jumarie (Montréal)
Survey of the theories for analogue of Wiener measure space. (English) Zbl 1202.28016
Reviewer: C. Castaing (Montpellier)
MSC:
28C20
Results on convergence in norm of exponential product formulas and pointwise of the corresponding integral kernels. (English) Zbl 1177.47052
Adamyan, Vadim (ed.) et al., Modern analysis and applications. The Mark Krein centenary conference. Volume 1: Operator theory and related topics. Papers based on invited talks at the international conference on modern analysis and applications, Odessa, Ukraine, April 9–14, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9918-4/v.1; 978-3-7643-9919-1/ebook; 978-3-7643-9924-5/set). Operator Theory: Advances and Applications 190, 315-327 (2009).
A note on a Feynman-Kac-type formula. (English) Zbl 1190.60049
MSC:
60H15
Homogenization of periodic semilinear parabolic degenerate PDEs. (English) Zbl 1178.35052
Reviewer: Adrian Muntean (Eindhoven)
Intrinsic ultracontractivity of a Schrödinger semigroup in \(\mathbb R^N\). (English) Zbl 1181.47049
Reviewer: Ti-Jun Xiao (Fudan)
MSC:
47D08
Feynman-Kac formula for left continuous additive functionals and extended Kato class measures. (English) Zbl 1160.60023
A two cities theorem for the parabolic Anderson model. (English) Zbl 1183.60024
Reviewer: Mihai Gradinaru (Rennes)
On stochastic representation for solutions of the Dirichlet problem for elliptic equations in divergence form. (English) Zbl 1171.60014
Reviewer: Aureli Alabert (Bellaterra)
Penalising Brownian paths. Dedicated to Frank Knight (1933-2007). (English) Zbl 1190.60002
Lecture Notes in Mathematics 1969. Berlin: Springer (ISBN 978-3-540-89698-2/pbk; 978-3-540-89699-9/ebook). xiii, 275 p. (2009).
Reviewer: René L. Schilling (Dresden)
Perturbation of sub-Markovian resolvents – a tribute to Gabriel Mokobodzki (1939–2007). (English) Zbl 1224.60188
An integral equation for Feynman’s operational calculi. (English) Zbl 1213.47018
Reviewer: Claudia-Veronika Meister (Darmstadt)
Pricing of options based on a jump-diffusion stochastic process. (Chinese. English summary) Zbl 1199.91238
Asymptotic Feynman-Kac formulae for large symmetrised systems of random walks. (English) Zbl 1186.60020
Reviewer: Arnaud Le Ny (Orsay)
Three useful bounds in quantum mechanics – easily obtained by Wiener integration. (English) Zbl 1180.82213
Janke, Wolfhard (ed.) et al., Path integrals. New trends and perspectives. Proceedings of the 9th international conference, Dresden, Germany, 23–28 September 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-726-4/hbk). 63-70 (2008).
Spectrum of the Laplacian and of the Schrödinger operator on a manifold: from spectral geometry to semiclassical analysis. (Spectre du laplacien et de l’opérateur de Schrödinger sur une variété: de la géometrie spectrale à l’analyse semi-classique.) (French) Zbl 1185.35150
Reviewer: Jesús Hernández (Madrid)
Fredholm determinant of an integral operator driven by a diffusion process. (English) Zbl 1168.58014
Reviewer: Jacques Franchi (Strasbourg)
MSC:
58J65
Schrödinger operators on local fields: self-adjointness and path integral representations for propagators. (English) Zbl 1162.47038
Reviewer: Michael Perelmuter (Kyïv)
Compactness of Schrödinger semigroups with unbounded below potentials. (English) Zbl 1156.47043
Reviewer: Michael Perelmuter (Kyïv)
Feynman formulas and functional integrals for diffusion with drift in a domain on a manifold. (English. Russian original) Zbl 1155.58302
Math. Notes 83, No. 3, 301-316 (2008); translation from Mat. Zametki 83, No. 3, 333-349 (2008).
Analytic continuation of the change of variable formula for smooth measures. (English. Russian original) Zbl 1186.46047
Dokl. Math. 77, No. 2, 265-268 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 4, 466-470 (2008).
Reviewer: Alexander Kachurovskij (Novosibirsk)
A Feynman-Kac-type formula for the deterministic and stochastic wave equations and other p.d.e.’s. (English) Zbl 1149.60040
Reviewer: Martin Ondreját (Praha)
The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications. (English) Zbl 1157.60061
Reviewer: Rainer Buckdahn (Brest)
Donsker’s functional calculus and related questions. (English) Zbl 1152.35118
Sengupta, Ambar N. (ed.) et al., Infinite dimensional stochastic analysis. In honor of Hui-Hsiung Kuo. Several papers based on the presentation at a special session of the American Mathematical Society annual meeting, New Orleans, LA, USA, January 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-954-0/hbk). QP-PQ: Quantum Probability and White Noise Analysis 22, 53-89 (2008).
Reviewer: Lluís Quer-Sardanyons (Bellaterra)
Some new simulations schemes for the evaluation of Feynman-Kac representations. (English) Zbl 1146.65003
Quantum mechanics for mathematicians. (English) Zbl 1156.81004
Graduate Studies in Mathematics 95. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4630-8/hbk). xv, 387 p. (2008).
Reviewer: Bassano Vacchini (Milano)
Critical exponents for semilinear PDEs with bounded potentials. (English) Zbl 1207.35053
Dalang, Robert C. (ed.) et al., Seminar on stochastic analysis, random fields and applications V. Proceedings of the 5th seminar, Centro Stefano Franscini, Ascona, Switzerland, May 30 to June 3, 2005. Basel: Birkhäuser (ISBN 978-3-7643-8457-9/hbk). Progress in Probability 59, 243-259 (2008).
Optimal investment and consumption in a Black-Scholes market with Lévy-driven stochastic coefficients. (English) Zbl 1140.93048
Generalized Jarzynski’s equality of inhomogeneous multidimensional diffusion processes. (English) Zbl 1144.82325
Quadratic BSDEs with convex generators and unbounded terminal conditions. (English) Zbl 1141.60037
MSC:
60H10
From convergence of operator semigroups to gene expression, and back again. (English) Zbl 1157.47030
Bürger, Reinhard (ed.) et al., Stochastic models in biological sciences. Proceedings of the workshop, Warsaw, Poland, May 29–June 2, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 80, 83-99 (2008).
Reviewer: Heinrich Hering (Rockenberg)
Kalman-Bucy filtering equations of forward and backward stochastic systems and applications to recursive optimal control problems. (English) Zbl 1141.93070
Note on norm and pointwise convergence of exponential products and their integral kernels for the harmonic oscillator. (English) Zbl 1155.47045
Reviewer: Khristo N. Boyadzhiev (Ada)
Transition asymptotics for reaction-diffusion in random media. (English) Zbl 1132.82006
Dawson, Donald A. (ed.) et al., Probability and mathematical physics. A volume in honor of Stanislav Molchanov. Proceedings of a conference in honor of Stanislav Molchanov’s 65th birthday, Montreal, Canada, June 27–July 1, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4089-4/pbk). CRM Proceedings and Lecture Notes 42, 1-40 (2007).
A donsker theorem to simulate one-dimensional processes with measurable coefficients. (English) Zbl 1181.60123
\(L^p\)-independence of spectral bounds of Schrödinger type semigroups. (English) Zbl 1130.47023
Reviewer: Michael Perelmuter (Kyïv)
Classical and variational differentiability of BSDEs with quadratic growth. (English) Zbl 1138.60042
Reviewer: Eckhard Platen (Broadway)
Analysis of path integrals at low temperature: box formula, occupation time and ergodic approximation. (English) Zbl 1136.82030
Reviewer: Guy Jumarie (Montréal)
Correlated processes and the composition of generators. (English) Zbl 1137.60040
Donati-Martin, Catherine (ed.) et al., Séminaire de Probabilités XL. Berlin: Springer (ISBN 978-3-540-71188-9/pbk). Lecture Notes in Mathematics 1899, 329-342 (2007).
Reviewer: Liliana Popa (Iaşi)
Stochastic Feynman-Kac equations associated to Lévy-Itô diffusions. (English) Zbl 1128.60059
Reviewer: George Stoica (Saint John)
MSC:
60H40
Brownian functionals in physics and computer science. (English) Zbl 1136.01013
Wadia, Spenta R. (ed.), The legacy of Albert Einstein. A collection of essays in celebration of the year of physics. Hackensack, NJ: World Scientific (ISBN 981-270-049-8/hbk; 981-270-480-9/pbk). 93-129 (2007).
Reviewer: Franka Miriam Bruckler (Zagreb)
Intertemporal asset allocation when the underlying factors are unobservable. (English) Zbl 1161.91385
Euclidean Gibbs measures of interacting quantum anharmonic oscillators. (English) Zbl 1125.82004
Reviewer: Hiroshi Tamura (Kanazawa)
Perturbation of transition functions and a Feynman–Kac formula for the incorporation of mortality. (English) Zbl 1123.47053
Reviewer: Andrej V. Bulinski (Moskva)
Computation of free energy differences through nonequilibrium stochastic dynamics: The reaction coordinate case. (English) Zbl 1197.82087
MSC:
82C35
82-08
Consistency conditions for affine term structure models II. Option pricing under diffusions with embdded jumps. (English) Zbl 1233.91295
Stochastic Lagrangian transport and generalized relative entropies. (English) Zbl 1120.35046
Reviewer: Aleksandr D. Borisenko (Kyïv)
Portfolio optimization and a factor model in a stochastic volatility market. (English) Zbl 1280.91152
The measure-valued Dyson series and its stability theorem. (English) Zbl 1104.28011
Reviewer: Kun Soo Chang (Seoul)
Introductory stochastic analysis for finance and insurance. (English) Zbl 1094.60047
Wiley Series in Probability and Statistics. Hoboken, NJ: John Wiley & Sons (ISBN 0-471-71642-1/hbk; 0-471-79321-3/ebook). xvi, 224 p. (2006).
Reviewer: Aleksandr D. Borisenko (Kyïv)
Exponential product approximation to the integral kernel of the Schrödinger semigroup and the heat kernel of the Dirichlet Laplacian. (English) Zbl 1096.47048
Reviewer: Eckhard Giere (Clausthal-Zellerfeld)
Brownian intersection local times: Exponential moments and law of large masses. (English) Zbl 1083.60068
Reviewer: Dominique Lepingle (Orléans)
The heat kernel of the compactified \(D=11\) supermembrane with non-trivial winding. (English) Zbl 1178.81215
A stochastic representation for fully nonlinear PDEs and its application to homogenization. (English) Zbl 1104.60039
Reviewer: Markus Reiß (Heidelberg)
MSC:
60H30
The parabolic Anderson model. (English) Zbl 1111.82011
Deuschel, Jean-Dominique (ed.) et al., Interacting stochastic systems. Berlin: Springer (ISBN 3-540-23033-5/hbk). 153-179 (2005).
Lyapunov exponent for the parabolic Anderson model with Lévy noise. (English) Zbl 1082.60057
Reviewer: Tomasz Bojdecki (Warszawa)
An introduction to the mathematical structure of quantum mechanics. A short course for mathematicans. (English) Zbl 1090.81001
Advanced Series in Mathematical Physics 27. Hackensack, NJ: World Scientific (ISBN 981-256-431-4/hbk). x, 146 p. (2005).
Reviewer: Bassano Vacchini (Milano)
On the Feynman-Kac representation for solutions of the Cauchy problem for parabolic equations in divergence form. (English) Zbl 1091.60019
Reviewer: Rainer Buckdahn (Brest)
A stochastic calculus for systems with memory. (English) Zbl 1080.60058
Reviewer: Maria Stolarczyk (Katowice)
Representations and regularities for solutions to BSDEs with reflections. (English) Zbl 1076.60049
Reviewer: Rainer Buckdahn (Brest)
Nonautonomous Kato classes of measures and Feynman-Kac propagators. (English) Zbl 1078.35039
Reviewer: René L. Schilling (Marburg)
Relating the almost-sure Lyapunov exponent of a parabolic SPDE and its coefficients’ spatial regularity. (English) Zbl 1082.60058
Reviewer: Yavdat Ilyasov (Ufa)
Limit lognormal multifractal as an exponential functional. (English) Zbl 1116.82016
Reviewer: Ilya Pavlyukevich (Berlin)
First- and last-passage algorithms in diffusion Monte Carlo. (English) Zbl 1093.82010
Wille, Luc T. (ed.), New directions in statistical physics. Econophysics, bioinformatics, and pattern recognition. Berlin: Springer (ISBN 3-540-43182-9/hbk). 47-66 (2004).
Reviewer: S. K. Srinivasan (Chennai)
Consistency conditions for affine term structure models. (English) Zbl 1075.91020
MSC:
91B28
60J60
Advances and applications of the Feynman integral. (English) Zbl 1095.28014
Rao, M. M. (ed.), Real and stochastic analysis. New perspectives. Boston, MA: Birkhäuser (ISBN 0-8176-4332-X/hbk). Trends in Mathematics, 239-303 (2004).
Reviewer: Gert Roepstorff (Aachen)
The premium and the risk of a life policy in the presence of interest rate fluctuations. (English) Zbl 1117.91386
MSC:
91B30
62P05
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