Martin Grothaus

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List of research outcomes

PublicationDate of PublicationType
Hypocoercivity for geometric Langevin equations motivated by fibre lay‐down models arising in industrial application2023-12-14Paper
Local Times in White Noise Analysis2023-07-21Paper
Hypocoercivity for infinite-dimensional non-linear degenerate stochastic differential equations with multiplicative noise2023-06-23Paper
Stochastic analysis for vector-valued generalized grey Brownian motion2023-05-17Paper
Convergence rate for degenerate partial and stochastic differential equations via weak Poincaré inequalities2023-05-15Paper
Singular Degenerate SDEs: Well-Posedness and Exponential Ergodicity2023-04-28Paper
A white noise approach to stochastic currents of Brownian motion2023-04-04Paper
Dirichlet form analysis of the Jacobi process2023-02-23Paper
Essential m-dissipativity for possibly degenerate generators of infinite-dimensional diffusion processes2022-08-10Paper
Skorokhod decomposition for a reflected -strong Feller diffusion with singular drift2022-06-30Paper
Essential m-dissipativity and hypocoercivity of Langevin dynamics with multiplicative noise2022-03-15Paper
Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds2022-03-07Paper
Dirichlet form analysis of the Jacobi process2021-11-02Paper
Hypocoercivity for non-linear infinite-dimensional degenerate stochastic differential equations2021-09-21Paper
A White Noise Approach to Stochastic Currents of Brownian Motion2021-08-26Paper
Mosco convergence of gradient forms with non-convex interaction potential2021-05-11Paper
Construction of non-trivial relativistic quantum fields in arbitrary space-time dimension via superposition of free fields2021-03-21Paper
Overdamped limit of generalized stochastic Hamiltonian systems for singular interaction potentials2020-06-03Paper
Integration by parts on the law of the modulus of the Brownian bridge2019-07-31Paper
An Overview on Tools from Functional Analysis2019-03-01Paper
Oblique Stochastic Boundary Value Problem2019-03-01Paper
On a nonlinear partial differential algebraic system arising in the technical textile industry: analysis and numerics2018-09-26Paper
Overdamped limit of generalized stochastic Hamiltonian systems for singular interaction potentials2018-09-18Paper
Strong Feller property of sticky reflected distorted Brownian motion2018-08-16Paper
A fundamental solution to the Schrödinger equation with Doss potentials and its smoothness2017-06-12Paper
Stochastic differential equations with sticky reflection and boundary diffusion2017-02-07Paper
Hilbert space hypocoercivity for the Langevin dynamics revisited2016-12-16Paper
Construction and analysis of a sticky reflected distorted Brownian motion2016-06-27Paper
Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions2016-03-21Paper
The Feynman integrand for the Charged Particle in a Constant Magnetic field as White Noise Distribution2016-03-04Paper
Mittag-Leffler analysis. II: Application to the fractional heat equation.2016-03-02Paper
A hypocoercivity related ergodicity method for singularly distorted non-symmetric diffusions2015-12-04Paper
The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution2015-08-06Paper
Mittag-Leffler analysis. I: Construction and characterization2015-03-13Paper
Construction and analysis of sticky reflected diffusions2014-12-12Paper
Hypocoercivity for Kolmogorov backward evolution equations and applications2014-10-13Paper
Construction and strong Feller property of distorted elliptic diffusion with reflecting boundary2014-06-27Paper
A white noise approach to the Feynman integrand for electrons in random media2014-05-07Paper
AN INVARIANCE PRINCIPLE FOR THE TAGGED PARTICLE PROCESS IN CONTINUUM WITH SINGULAR INTERACTION POTENTIAL2014-03-10Paper
GEOMETRIC LANGEVIN EQUATIONS ON SUBMANIFOLDS AND APPLICATIONS TO THE STOCHASTIC MELT-SPINNING PROCESS OF NONWOVENS AND BIOLOGY2013-11-20Paper
A white noise approach to phase space Feynman path integrals2013-09-17Paper
Construction of \({\mathcal L}^{p}\)-strong Feller processes via Dirichlet forms and applications to elliptic diffusions2013-05-13Paper
The complex scaled Feynman–Kac formula for singular initial distributions2012-11-09Paper
Convergence of Brownian motion with a scaled Dirac delta potential2012-06-18Paper
Smooth Contractive Embeddings and Application to Feynman Formula for Parabolic Equations on Smooth Bounded Domains2012-06-08Paper
Construction, ergodicity and rate of convergence of \(N\)-particle Langevin dynamics with singular potentials2012-06-02Paper
Geometry, mixing properties and hypocoercivity of a degenerate diffusion arising in technical textile industry2012-03-20Paper
Construction of a finite volume dynamical wetting model with \delta-pinning in (d+1)-dimension via Dirichlet forms2012-03-09Paper
Self-avoiding fractional Brownian motion -- the Edwards model2012-01-12Paper
Analytically weak solutions to SPDEs with unbounded time-dependent differential operators and an application2011-12-08Paper
N/V-LIMIT FOR LANGEVIN DYNAMICS IN CONTINUUM2011-06-29Paper
Feynman formula for a class of second-order parabolic equations in a bounded domain2011-06-08Paper
Parameter Estimation from Occupation Times2011-05-27Paper
TAGGED PARTICLE PROCESS IN CONTINUUM WITH SINGULAR INTERACTIONS2011-05-04Paper
Limit formulae and jump relations of potential theory in Sobolev spaces2011-02-08Paper
LAGRANGIAN FEYNMAN FORMULAS FOR SECOND-ORDER PARABOLIC EQUATIONS IN BOUNDED AND UNBOUNDED DOMAINS2010-11-18Paper
Oblique Stochastic Boundary-Value Problem2010-10-26Paper
Feynman integrals as Hida distributions: the case of non-perturbative potentials2010-08-09Paper
The Outer Oblique Boundary Problem of Potential Theory2009-10-13Paper
Ergodicity and Rate of Convergence for a Nonsectorial Fiber Lay-Down Process2009-05-28Paper
https://portal.mardi4nfdi.de/entity/Q35970302009-02-09Paper
CONSTRUCTION OF ELLIPTIC DIFFUSIONS WITH REFLECTING BOUNDARY CONDITION AND AN APPLICATION TO CONTINUOUS N-PARTICLE SYSTEMS WITH SINGULAR INTERACTIONS2008-08-15Paper
Construction of n-particle Langevin dynamics for \(H^{1,\infty}\)-potentials via generalized Dirichlet forms2008-04-23Paper
Strong Feller properties for distorted Brownian motion with reflecting boundary condition and an application to continuous \(N\)-particle systems with singular interactions2007-06-26Paper
On the oblique boundary problem with a stochastic inhomogeneity2007-03-08Paper
\(N/V\)-limit for stochastic dynamics in continuous particle systems2007-02-14Paper
Scaling limit of fluctuations for the equilibrium Glauber dynamics in continuum2007-01-09Paper
Reverse Hypercontractivity for Subharmonic Functions2005-07-27Paper
KNOTS, FEYNMAN DIAGRAMS AND MATRIX MODELS2004-09-03Paper
Scaling limit of stochastic dynamics in classical continuous systems2004-06-10Paper
Stochastic dynamics of fluctuations in classical continuous systems2002-08-14Paper
https://portal.mardi4nfdi.de/entity/Q27117752001-04-25Paper
Wick calculus for regular generalized stochastic functionals2000-10-11Paper
Scaling limits for the solution of wick type Burgers equation2000-10-11Paper
Construction of relativistic quantum fields in the framework of white noise analysis2000-08-16Paper
https://portal.mardi4nfdi.de/entity/Q49399092000-03-01Paper
REGULAR GENERALIZED FUNCTIONS IN GAUSSIAN ANALYSIS1999-11-29Paper
Quadratic actions, semi-classical approximation, and delta sequences in Gaussian analysis.1999-01-01Paper
The Feynman integral for time-dependent anharmonic oscillators1997-09-18Paper

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