zbMath0537.35003MaRDI QIDQ792536
Jean-Michel Bismut
Publication date: 1984
Published in: Progress in Mathematics (Search for Journal in Brave)
Solvability of the Schrödinger equation by stochastic integration of magnetic fields ⋮
Non-exponential decay of the heat kernel ⋮
Path integral formulae for heat kernels and their derivatives ⋮
Tangent processes on Wiener space ⋮
Computation of sensitivities for the invariant measure of a parameter dependent diffusion ⋮
Localization formulas, superconnections, and the index theorem for families ⋮
Derivative formulas and Poincaré inequality for Kohn-Laplacian type semigroups ⋮
Aronson's estimates and conditional diffusion processes ⋮
Intégration dans la fibre associée a une diffusion dégénérée. (Integration in a fiber associated to a degenerated diffusion) ⋮
Short time kernel asymptotics for Young SDE by means of Watanabe distribution theory ⋮
Strong Feller properties for degenerate SDEs with jumps ⋮
Log-Sobolev inequalities: different roles of Ric and Hess ⋮
Stochastic differential geometry: An introduction ⋮
The Bismut-Elworthy-Li formula for mean-field stochastic differential equations ⋮
Tube estimates for diffusion processes under a weak Hörmander condition ⋮
Bismut formula for a stochastic heat equation with fractional noise ⋮
On probability laws of solutions to differential systems driven by a fractional Brownian motion ⋮
Minoration en temps petit de la densité d'une diffusion dégénérée. (Lower estimate for small times of the density of a degenerate diffusion) ⋮
Stochastic multiplicative measures, generalized Markov semigroups, and group-valued stochastic processes and fields ⋮
A class of vector fields on path spaces ⋮
Computation of option Greeks under hybrid stochastic volatility models via Malliavin calculus ⋮
Transgressed Chern forms for Dirac operators ⋮
Demailly's asymptotic Morse inequalities: a heat equation proof ⋮
Quantitative \(C^{1}\)-estimates by Bismut formulae ⋮
Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry ⋮
The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem ⋮
Small-time fluctuations for sub-Riemannian diffusion loops ⋮
Variational approximation for Fokker-Planck equation on Riemannian manifold ⋮
First order Feynman-Kac formula ⋮
\(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise ⋮
Maximum-likelihood estimation for diffusion processes via closed-form density expansions ⋮
Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators ⋮
Stochastic anticipative calculus on the path space over a compact Riemannian manifold ⋮
Non perturbative construction of invariant measure through confinement by curvature ⋮
Integration by parts for heat kernel measures revisited ⋮
Derivative formula and applications for degenerate diffusion semigroups ⋮
Bismut formulae and applications for functional SPDEs ⋮
An integration by parts formula on path space over manifolds carrying geometric flow ⋮
Large deviations for Markov bridges with jumps ⋮
Reflecting diffusion processes on manifolds carrying geometric flow ⋮
Spectral gap on Riemannian path space over static and evolving manifolds ⋮
Path integration over closed loops and Gutzwiller's trace formula ⋮
On integration by parts formula and characterization of fractional Ornstein-Uhlenbeck process ⋮
Degenerate Fokker-Planck equations: Bismut formula, gradient estimate and Harnack inequality ⋮
Absence of spectral gaps on a class of loop spaces ⋮
Local spectral gaps on loop spaces. ⋮
Gradient estimates and applications for Neumann semigroup on narrow strip ⋮
Characterization of pinched Ricci curvature by functional inequalities ⋮
Stochastic calculus of variations for the diffeomorphisms group ⋮
Heat semi-group and generalized flows on complete Riemannian manifolds ⋮
A stochastic approach to a priori estimates and Liouville theorems for harmonic maps ⋮
Finite dimensional approximation of Riemannian path space geometry. ⋮
Derivative formula and gradient estimates for Gruschin type semigroups ⋮
A benchmarking approach to optimal asset allocation for insurers and pension funds ⋮
Precise asymptotics of certain Wiener functionals ⋮
Probabilistic approach for systems of second order quasi-linear parabolic PDEs ⋮
Stochastic Wess-Zumino-Witten model over a symplectic manifold ⋮
Evolution systems of measures and semigroup properties on evolving manifolds ⋮
Computing deltas without derivatives ⋮
Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces ⋮
Derivative formulae for stochastic differential equations driven by Poisson random measures ⋮
Uniform gradient estimates on manifolds with a boundary and applications ⋮
Stochastic calculus and degenerate boundary value problems ⋮
Complex immersions and Quillen metrics ⋮
A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold ⋮
A criterium for the strict positivity of the density of the law of a Poisson process ⋮
Gradient estimate for Ornstein-Uhlenbeck jump processes ⋮
Densities for rough differential equations under Hörmander's condition ⋮
Bismut-Elworthy-Li-type formulae for stochastic differential equations with jumps ⋮
Estimates of the transition density of a gas system ⋮
Morse-Sard type results in sub-Riemannian geometry ⋮
Concentration of the Brownian bridge on Cartan-Hadamard manifolds with pinched negative sectional curvature. ⋮
A remark on the asymptotic expansion of density function of Wiener functionals ⋮
Characteristic vector fields of generic distributions of corank 2 ⋮
Stochastic calculus of variations on complex line bundle and construction of unitarizing measures for the Poincaré disk ⋮
On the stabilization problem for nonholonomic distributions ⋮
Gradient estimates for harmonic functions on regular domains in Riemannian manifolds ⋮
Characterizing Yang-Mills fields by stochastic parallel transport ⋮
The Atiyah-Singer theorems: A probabilistic approach. II: The Lefschetz fixed point formulas ⋮
Differential calculus on path and loop spaces. II: Irreducibility of Dirichlet forms on loop spaces ⋮
Properties of reachable sets in the sub-Lorentzian geometry ⋮
Hypoelliptic Laplacian and orbital integrals ⋮
Differentiable measures and the Malliavin calculus ⋮
Logarithmic derivatives of heat kernels and logarithmic Sobolev inequalities with unbounded diffusion coefficients on loop spaces ⋮
Functional inequalities for Feynman-Kac semigroups ⋮
Finite dimensional approximations to Wiener measure and path integral formulas on manifolds ⋮
Stochastic gauge transform of the string bundle ⋮
The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem ⋮
Stochastic delay equations with hereditary drift: Estimates of the density ⋮
Localization of abnormal curves and pairs of Poisson tensors in low dimension ⋮
Explicit stochastic analysis of Brownian motion and point measures on Riemannian manifolds ⋮
The infinitesimal Lefschetz formulas: A heat equation proof ⋮
The Malliavin calculus ⋮
Logarithmic estimates for the density of hypoelliptic two-parameter diffusions ⋮
Décroissance exponentielle du noyau de la chaleur sur la diagonale. I. (Exponential decay of the heat kernel over the diagonal. I) ⋮
Exponential decay of the heat kernel over the diagonal. II ⋮
Majoration en temps petit de la densité d'une diffusion dégénérée ⋮
Optimal control of differential inclusions on manifolds ⋮
Index theorem and equivariant cohomology on the loop space ⋮
The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs ⋮
SHORT TIME FULL ASYMPTOTIC EXPANSION OF HYPOELLIPTIC HEAT KERNEL AT THE CUT LOCUS ⋮
Unnamed Item ⋮
Asymptotic Bismut formulae for stochastic functional differential equations with infinite delay ⋮
The Gaussian structure of the singular stochastic Burgers equation ⋮
Stochastic Processes in the Decades after 1950 ⋮
Unadjusted Langevin algorithm with multiplicative noise: total variation and Wasserstein bounds ⋮
A new algorithm for computing path integrals and weak approximation of SDEs inspired by large deviations and Malliavin calculus ⋮
Small-time expansion for the density of a planar (quadratic) Langevin diffusion ⋮
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds ⋮
On subelliptic harmonic maps with potential ⋮
Stochastic Lagrangian perturbation of Lie transport and applications to fluids ⋮
Logarithmic heat kernel estimates without curvature restrictions ⋮
Derivative formula for singular McKean-Vlasov SDEs ⋮
A pointwise inequality for derivatives of solutions of the heat equation in bounded domains ⋮
Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows ⋮
Hypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023 ⋮
Backpropagation in hyperbolic chaos via adjoint shadowing ⋮
Bismut-Elworthy-Li Formulae for Bessel Processes ⋮
The Neumann Problem on Unbounded Domains of ℝdand Stochastic Variational Inequalities ⋮
Derivative Formula and Harnack Inequality for SDEs Driven by Lévy Processes ⋮
Random holonomy of Hopf fibrations ⋮
Heat equation derivative formulas for vector bundles ⋮
A sheaf-theoretical approach to stochastic cohomology ⋮
Elliptic operators on \(\mathbb{R}^d\) with unbounded coefficients ⋮
Variational aspects of the geodesics problem in sub-Riemannian geometry ⋮
A stochastic representation for backward incompressible Navier-Stokes equations ⋮
Asymptotic behaviour of randomised fractional volatility models ⋮
Second Order Discretization of Bismut--Elworthy--Li Formula: Application to Sensitivity Analysis ⋮
Short-time near-the-money skew in rough fractional volatility models ⋮
Integration by Parts Formula and Applications for SDEs Driven by Fractional Brownian Motions ⋮
Bismut formulas and applications for stochastic (functional) differential equations driven by fractional Brownian motions ⋮
Absolute continuity of heat kernel measure with pinned Wiener measure on loop groups ⋮
Diffusion semigroup on manifolds with time-dependent metrics ⋮
Stochastic Differential Equations Driven by Loops ⋮
Regularity for distribution-dependent SDEs driven by jump processes ⋮
Conditioning and initial enlargement of filtration on a Riemannian manifold. ⋮
Precise local estimates for differential equations driven by fractional Brownian motion: hypoelliptic case ⋮
Asymptotic behavior of divergences and Cameron-Martin theorem on loop spaces. ⋮
Singular extremals on Lie groups ⋮
On forward stochastic integrals over the loop space ⋮
Hearing the zero locus of a magnetic field ⋮
On the Estimate for Commutators in DiPerna–Lions Theory ⋮
Stochastic flows and Bismut formulas for stochastic Hamiltonian systems ⋮
Analysis on free Riemannian path spaces ⋮
Estimation of the density of the solution of the robust Zakaï equation ⋮
Martingale representation and logarithmic-Sobolev inequality for the fractional Ornstein-Uhlenbeck measure ⋮
Distribution dependent SDEs driven by fractional Brownian motions ⋮
Bismut formula for intrinsic/Lions derivatives of distribution dependent SDEs with singular coefficients ⋮
General Asymptotics of Wiener Functionals and Application to Implied Volatilities ⋮
On the Probability Density Function of Baskets ⋮
On Small-Noise Equations with Degenerate Limiting System Arising from Volatility Models ⋮
Ergodicity Results for the Stochastic Navier–Stokes Equations: An Introduction ⋮
Bismut formula for Lions derivative of distribution-path dependent SDEs ⋮
Lévy's stochastic area formula for gaussian processes ⋮
Bismut type derivative formulae and gradient estimate for multiplicative SDEs with fractional noises ⋮
Développement asymptotique du noyau de la chaleur hypoelliptique hors du cut-locus ⋮
Gaussian measures on linear spaces ⋮
Some heat operators on \(\mathbb{P}(\mathbb{R}^ d)\) ⋮
Local Volatility, Conditioned Diffusions, and Varadhan's Formula ⋮
Gradient bounds for Kolmogorov type diffusions ⋮
Momentum maps and stochastic Clebsch action principles ⋮
Hydrodynamics and Stochastic Differential Equation with Sobolev Coefficients ⋮
A high order weak approximation for jump-diffusions using Malliavin calculus and operator splitting ⋮
On the characterization of Brownian bridge measure on the pinned path space over a compact Riemannian manifold ⋮
Calculating the Greeks by cubature formulae ⋮
Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics ⋮
Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds ⋮
Asymptotic behavior of densities for stochastic functional differential equations ⋮
Endogenous Configuration Space Approach: An Intersection of Robotics and Control Theory ⋮
Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry ⋮
Integration by parts formula and shift Harnack inequality for stochastic equations ⋮
Gaussian measures in traditional and not so traditional settings ⋮
A survey of singular curves in sub-Riemannian geometry ⋮
Characterizations of Hamiltonian geodesics in sub-Riemannian geometry ⋮
Small time equivalents for the density of a planar quadratic Langevin diffusion ⋮
Divergence theorems in path space. III: Hypoelliptic diffusions and beyond ⋮
Methods de laplace et de la phase stationnaire sur l'espace de wiener ⋮
A second order analysis of McKean-Vlasov semigroups ⋮
Precise asymptotics: robust stochastic volatility models ⋮
Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling ⋮
Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature ⋮
Tools for Malliavin calculus in UMD Banach spaces ⋮
Positivity theorem in semi-group theory ⋮
New derivation of the heisenberg kernel ⋮
Derivative formulae for SDEs driven by multiplicative \(\alpha\)-stable-like processes ⋮
A Cameron-Martin Type Quasi-Invariance Theorem for Pinned Brownian Motion on a Compact Riemannian Manifold ⋮
Quotient of a loop group and Witten genus ⋮
Computation of Greeks and Multidimensional Density Estimation for Asset Price Models with Time-Changed Brownian Motion ⋮
Eells-Sampson type theorems for subelliptic harmonic maps from sub-Riemannian manifolds ⋮
A Feynman-Kac formula for the quantum Heisenberg ferromagnet. II ⋮
Bismut type formulae for diffusion semigroups on Riemannian manifolds ⋮
Asymptotic behaviour of stochastic quasi dissipative systems ⋮
Fellerian pants ⋮
Brownian bridges to submanifolds ⋮
Functional inequalities on manifolds with non-convex boundary ⋮
Shift Harnack inequality and integration by parts formula for functional SDEs driven by fractional Brownian motion ⋮
Koszul Complexes, Harmonic Oscillators, and the Todd Class ⋮
High order weak approximation for irregular functionals of time-inhomogeneous SDEs ⋮
Singular velocities of even-rank affine distributions ⋮
A Feynman-Kac approach for logarithmic Sobolev inequalities ⋮
Transportation inequalities for Markov kernels and their applications ⋮
A second-order discretization for forward-backward SDEs using local approximations with Malliavin calculus ⋮
Transportation-cost inequality on path spaces with uniform distance ⋮
Estimates of Dirichlet heat kernels ⋮
On the semimartingale property of Brownian bridges on complete manifolds ⋮
Integration by parts formula and logarithmic Sobolev inequality on the path space over loop groups ⋮
Non-degeneracy of Wiener functionals arising from rough differential equations ⋮
Central limit theorem and moderate deviation principle for McKean-Vlasov SDEs ⋮
An approximation scheme for quasi-stationary distributions of killed diffusions ⋮
Renormalized stochastic calculus of variations for a renormalized infinite-dimensional Brownian motion ⋮
Derivative formulas and applications for degenerate stochastic differential equations with fractional noises ⋮
Bismut formula for Lions derivative of distribution dependent SDEs and applications ⋮
A third-order weak approximation of multidimensional Itô stochastic differential equations ⋮
Projection of the infinitesimal generator of a diffusion ⋮
Identifying constant curvature manifolds, Einstein manifolds, and Ricci parallel manifolds ⋮
Yet another introduction to rough paths ⋮
Heat flow regularity, Bismut-Elworthy-Li's derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature ⋮
A continuation method for motion-planning problems ⋮
Differentiability of the transition semigroup of the stochastic Burgers-Huxley equation and application to optimal control ⋮
Stochastic equivariant cohomologies and cyclic cohomology ⋮
ASYMPTOTIC EXPANSION OF THE DENSITY FOR HYPOELLIPTIC ROUGH DIFFERENTIAL EQUATION ⋮
An explicit local uniform large deviation bound for Brownian bridges ⋮
Backward Itô-Ventzell and stochastic interpolation formulae ⋮
Quasi-invariance for the pinned Brownian motion on a Lie group. ⋮
Stein's method, logarithmic Sobolev and transport inequalities ⋮
Existence and uniqueness of solutions for a class of semilinear parabolic PDEs with non-Lipschitz coefficients ⋮
The dialectics archetypes/types (universal categorical constructions/concrete models) in the work of Alexander Grothendieck ⋮
Stochastic geodesics ⋮
Brownian motions on metric graphs ⋮
Dynamic programming for the stochastic Burgers equation ⋮
Stochastic Volterra equations driven by fractional Brownian motion
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