Found 275 Documents (Results 1–100)
Stochastic completeness and \(L^1 \)-Liouville property for second-order elliptic operators. (English) Zbl 07862925
Unitary representation of walks along random vector fields and the Kolmogorov-Fokker-Planck equation in a Hilbert space. (English. Russian original) Zbl 1536.37070
Theor. Math. Phys. 218, No. 2, 205-221 (2024); translation from Teor. Mat. Fiz. 218, No. 2, 238-257 (2024).
Propagation of microlocal singularities for stochastic partial differential equations. (English) Zbl 07810316
Diffusion maps for embedded manifolds with boundary with applications to PDEs. (English) Zbl 1543.65177
Random acoustic boundary conditions and Weyl’s law for Laplace-Beltrami operators on non-smooth boundaries. arXiv:2410.15150
Preprint, arXiv:2410.15150 [math.AP] (2024).
Hyers-Ulam-Rassias stability of a nonlinear stochastic fractional Volterra integro-differential equation. (English) Zbl 07921165
Hypoelliptic operators in geometry. Abstracts from the workshop held May 21–26, 2023. (English) Zbl 1528.32001
MSC:
00B05
00B25
32-06
58-06
32A25
32V20
35H10
35H20
35K08
35R03
53C17
53C18
58C40
58J20
58J40
58J65
Feynman-Kac formula for perturbations of order \(\leq 1\), and noncommutative geometry. (English) Zbl 1527.58009
Product formulas and convolutions for Laplace-Beltrami operators on product spaces: beyond the trivial case. (English) Zbl 1522.47070
Law of large numbers and central limit theorem for ergodic quantum processes. (English) Zbl 1520.37010
Removable sets and \(L^p\)-uniqueness on manifolds and metric measure spaces. (English) Zbl 1518.58019
Reviewer: Feng-Yu Wang (Tianjin)
Sub-Feller semigroups generated by pseudodifferential operators on symmetric spaces of noncompact type. (English) Zbl 1526.58007
Reviewer: Luigi Rodino (Torino)
Convergence results for stochastic convex feasibility problem using random Mann and simultaneous projection iterative algorithms in Hilbert space. (English) Zbl 07706317
A fixed point theorem for measurable selection valued correspondences induced by upper Caratheodory correspondences. (English) Zbl 07629823
Reviewer: Valerii V. Obukhovskij (Voronezh)
Central limit theorems for Fréchet means on stratified spaces. arXiv:2311.09455
Preprint, arXiv:2311.09455 [math.PR] (2023).
MSC:
60F05
53C23
60D05
60B05
49J52
62R20
62R07
57N80
58A35
47H14
58C20
49J50
58Z05
53C80
62G20
62R30
28C99
58K30
62G35
92B10
Irreducibility of Markov Chains on simplicial complexes, the Spectrum of the Discrete Hodge Laplacian and Homology. arXiv:2310.07912
Preprint, arXiv:2310.07912 [math.SP] (2023).
Wilson loop expectations as sums over surfaces on the plane. arXiv:2305.02306
Preprint, arXiv:2305.02306 [math.PR] (2023).
Analysis of direct and indirect detection of fermionic dark matter of 6-dimensional effective field theory. (English) Zbl 07802671
Numerical analysis for time-dependent advection-diffusion problems with random discontinuous coefficients. (English) Zbl 1501.65065
Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds. (English. French summary) Zbl 1498.60324
Generalized Ornstein-Uhlenbeck semigroups in weighted \(L^p\)-spaces on Riemannian manifolds. (English) Zbl 1509.47067
Reviewer: Mohammed El Aïdi (Bogotá)
Surface finite element approximation of spherical Whittle-Matérn Gaussian random fields. (English) Zbl 07511041
A note on eigenvalues estimates for one-dimensional diffusion operators. (English) Zbl 07467714
Reviewer: Weiping Li (Guanghan)
Cartan connections for stochastic developments on sub-Riemannian manifolds. (English) Zbl 1515.58009
Reviewer: Feng-Yu Wang (Tianjin)
Optimal control of the FitzHugh-Nagumo stochastic model with nonlinear diffusion. (English) Zbl 1489.49019
Reviewer: Andreas Mang (Houston)
Fractional diffusion maps. (English) Zbl 1469.60247
Ergodic theorems for laminations and foliations: recent results and perspectives. (English) Zbl 1469.37004
Reviewer: David B. Gauld (Auckland)
Cosmological collider signatures of massive vectors from non-Gaussian gravitational waves. (English) Zbl 1491.83015
Mild solutions of evolution quantum stochastic differential equations with nonlocal conditions. (English) Zbl 07271509
Fractional stochastic active scalar equations generalizing the multi-dimensional quasi-geostrophic & 2D-Navier-Stokes equations: the general case. (English) Zbl 1467.58017
The equivalence of hypercontractivity and logarithmic Sobolev inequality for \(q (-1 \leq q \leq 1)\) -Ornstein-Uhlenbeck semigroup. (English) Zbl 07238368
Finite-velocity diffusion in random media. (English) Zbl 1434.82075
J. Stat. Phys. 179, No. 3, 729-747 (2020); correction ibid. 181, No. 3, 1087 (2020).
Deterministic and stochastic Cauchy problems for a class of weakly hyperbolic operators on \(\mathbb{R}^n\). (English) Zbl 1477.58015
Reviewer: Veronique Fischer (Bath)
Noncommutative boundaries arising in dynamics and representations of the Cuntz relations. (English) Zbl 1443.47086
The horizontal heat kernel on the quaternionic anti-de Sitter spaces and related twistor spaces. (English) Zbl 1462.53045
Reviewer: Bo Liu (Bures-sur-Yvette)
Degenerate Laplacian describing topologically constrained diffusion: helicity constraint as an alternative to ellipticity. (English) Zbl 1514.47074
On Copula-Itô processes. (English) Zbl 1439.62132
Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations. (English) Zbl 1447.81147
Fréchet differentiable drift dependence of Perron-Frobenius and Koopman operators for non-deterministic dynamics. (English) Zbl 1475.60104
Reviewer: Luigi Amedeo Bianchi (Povo)
Quasistationary distributions for one-dimensional diffusions with singular boundary points. (English) Zbl 1435.60055
Reviewer: Isamu Dôku (Saitama)
New boundaries for positive definite functions. arXiv:1911.12344
Preprint, arXiv:1911.12344 [math.FA] (2019).
Doubly damped stochastic parallel translations and Hessian formulas. (English) Zbl 1403.60056
Eberle, Andreas (ed.) et al., Stochastic partial differential equations and related fields. In honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10–14, 2016. Cham: Springer (ISBN 978-3-319-74928-0/hbk; 978-3-319-74929-7/ebook). Springer Proceedings in Mathematics & Statistics 229, 345-357 (2018).
A study of elliptic partial differential equations with jump diffusion coefficients. (English) Zbl 1405.60104
Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries. (English) Zbl 1419.35001
Memoirs of the American Mathematical Society 1200. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2802-0/print; 978-1-4704-4369-6/ebook). vi, 148 p. (2018).
Reviewer: Luigi Rodino (Torino)
Laplacian cut-offs, porous and fast diffusion on manifolds and other applications. (English) Zbl 1502.53057
Lecture notes on the DiPerna-Lions theory in abstract measure spaces. (English. French summary) Zbl 1402.35003
Reviewer: Xiaodan Zhou (Worcester)
A variational approach to some transport inequalities. (English. French summary) Zbl 1382.60037
Betti numbers of random nodal sets of elliptic pseudo-differential operators. (English) Zbl 1394.58011
Reviewer: Luigi Rodino (Torino)
Stochastic stability of Pollicott-Ruelle resonances. (English) Zbl 1406.37031
Reviewer: Jean Picard (Aubière)
Off-diagonal heat kernel asymptotics of pseudodifferential operators on closed manifolds and subordinate Brownian motion. (English) Zbl 1370.35160
Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks. (English) Zbl 1397.81115
Reviewer: Christoph Koutschan (Linz)
Covariance regularity and \(\mathcal {H}\)-matrix approximation for rough random fields. (English) Zbl 1362.65124
Reviewer: Abdallah Bradji (Annaba)
Book review of: D. Bakry et al., Analysis and geometry of Markov diffusion operators. (English) Zbl 1410.00011
The Gauss-Bonnet-Chern theorem: a probabilistic perspective. (English) Zbl 1401.35229
Reviewer: Ion Mihai (Bucureşti)
Spectral decomposition of fractional operators and a reflected stable semigroup. (English) Zbl 1368.47032
Positive definite (p.d.) functions vs p.d. distributions. arXiv:1712.07264
Preprint, arXiv:1712.07264 [math.FA] (2017).
Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces. (English) Zbl 1393.47047
Oseledec multiplicative ergodic theorem for laminations. (English) Zbl 1373.37129
Mem. Am. Math. Soc. 1164, x, 166 p. (2016).
Geometric foundations of rough paths. (English) Zbl 1360.58028
Barilari, Davide (ed.) et al., Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume II. Lecture notes from the IHP Trimester held at the Institut Henri Poincaré, Paris, France, and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-163-7/pbk; 978-3-03719-663-2/ebook). EMS Series of Lectures in Mathematics, 171-210 (2016).
Graph Laplacians and discrete reproducing kernel Hilbert spaces from restrictions. (English) Zbl 1380.46020
Reviewer: I. M. Erusalimskiy (Rostov-on-Don)
A stochastic Gauss-Bonnet-Chern formula. (English) Zbl 1346.35140
Reviewer: Jacques Franchi (Strasbourg)
On a positivity preservation property for Schrödinger operators on Riemannian manifolds. (English) Zbl 1329.58026
Reviewer: Dian K. Palagachev (Bari)
Photons in Fock space and beyond. Vol. I: From classical to quantized radiation systems. Vol. II: Quantized mesoscopic radiation models. Vol. III: Mathematics for photon fields. (English) Zbl 1381.81005
Hackensack, NJ: World Scientific (ISBN 978-981-4618-83-0/vol.1; 978-981-4618-86-1/vol.2; 978-981-4618-89-2/vol.3; 978-981-4618-82-3/set; 978-981-4696-57-9/ebook). xxxvii, 2084, L p. (2015).
Reviewer: Daniel A. Dubin (Milton Keynes)
Frames and factorization of graph Laplacians. (English) Zbl 1359.47055
Reviewer: Claudia Simionescu-Badea (Wien)
A hypocoercivity related ergodicity method for singularly distorted non-symmetric diffusions. (English) Zbl 1361.37007
Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds. (English) Zbl 1349.58016
Reviewer: Jacques Franchi (Strasbourg)
Induced representations arising from a character with finite orbit in a semidirect product. (English) Zbl 1328.47077
Spectral theory and partial differential equations. Conference in honor of James Ralston’s 70th birthday, University of California, Los Angeles, CA, USA, June 17–21, 2013. Proceedings. (English) Zbl 1319.35001
Contemporary Mathematics 640. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-0989-0/pbk; 978-1-4704-2493-0/ebook). ix, 197 p. (2015).
Pseudo generators for under-resolved molecular dynamics. arXiv:1502.01191
Preprint, arXiv:1502.01191 [math.DS] (2015).
Decompositions of diffusion operators and related couplings. (English) Zbl 1387.58035
Crisan, Dan (ed.) et al., Stochastic analysis and applications 2014. In honour of Terry Lyons. Selected articles based on the presentations at the conference, Oxford, UK, September 23–27, 2013. Cham: Springer (ISBN 978-3-319-11291-6/hbk; 978-3-319-11292-3/ebook). Springer Proceedings in Mathematics & Statistics 100, 283-306 (2014).
On the level statistics problem for the one-dimensional Schrödinger operator with random decaying potential. (English) Zbl 1308.60084
Reviewer: Maria Christina Mariani (El Paso)
Absence of finite-temperature ballistic charge (and spin) transport in the 1D Hubbard model at half filling (and zero spin density). (English) Zbl 1301.82018
Erratum to: “Martingale transforms and \(L^p\)-norm estimates of Riesz transforms on complete Riemannian manifolds”. (English) Zbl 1291.53053
Dimension-independent estimates for heat operators and harmonic functions. (English) Zbl 1295.58008
Reviewer: Yuri E. Gliklikh (Voronezh)
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