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1

Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions

Butko, Yana A., Grothaus, Martin, Smolyanov, Oleg G.

Journal:

Journal of Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 578 KB

english, 2016

2

Stochastic Dynamics of Fluctuations in Classical Continuous Systems

Sergio Albeverio, Martin Grothaus, Yuri G. Kondratiev, Michael Röckner

Journal:

Journal of Functional Analysis

Year:

2001

Language:

english

File:

PDF, 205 KB

english, 2001

3

Scaling limit of fluctuations for the equilibrium Glauber dynamics in continuum

Martin Grothaus

Journal:

Journal of Functional Analysis

Year:

2006

Language:

english

File:

PDF, 273 KB

english, 2006

4

Strong Feller properties for distorted Brownian motion with reflecting boundary condition and an application to continuous N-particle systems with singular interactions

Torben Fattler, Martin Grothaus

Journal:

Journal of Functional Analysis

Year:

2007

Language:

english

File:

PDF, 256 KB

english, 2007

5

The Feynman integral for time-dependent anharmonic oscillators

Grothaus, Martin, Khandekar, Dinkar C., da Silva, José L., Streit, Ludwig

Journal:

Journal of Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 653 KB

english, 1997

6

Hypocoercivity for Kolmogorov backward evolution equations and applications

Grothaus, Martin, Stilgenbauer, Patrik

Journal:

Journal of Functional Analysis

Year:

2014

Language:

english

File:

PDF, 1.36 MB

english, 2014

7

The complex scaled Feynman–Kac formula for singular initial distributions

Grothaus, Martin, Streit, Ludwig, Vogel, Anna

Journal:

Stochastics An International Journal of Probability and Stochastic Processes

Year:

2012

Language:

english

File:

PDF, 176 KB

english, 2012

8

LAGRANGIAN FEYNMAN FORMULAS FOR SECOND-ORDER PARABOLIC EQUATIONS IN BOUNDED AND UNBOUNDED DOMAINS

BUTKO, YANA A., GROTHAUS, MARTIN, SMOLYANOV, OLEG G.

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2010

Language:

english

File:

PDF, 224 KB

english, 2010

9

GEOMETRIC LANGEVIN EQUATIONS ON SUBMANIFOLDS AND APPLICATIONS TO THE STOCHASTIC MELT-SPINNING PROCESS OF NONWOVENS AND BIOLOGY

GROTHAUS, MARTIN, STILGENBAUER, PATRIK

Journal:

Stochastics and Dynamics

Year:

2013

Language:

english

File:

PDF, 522 KB

english, 2013

10

Application of a three-dimensional fiber lay-down model to non-woven production processes

Grothaus, Martin, Klar, Axel, Maringer, Johannes, Stilgenbauer, Patrik, Wegener, Raimund

Journal:

Journal of Mathematics in Industry

Year:

2014

Language:

english

File:

PDF, 2.35 MB

english, 2014

11

A Hypocoercivity Related Ergodicity Method for Singularly Distorted Non-Symmetric Diffusions

Grothaus, Martin, Stilgenbauer, Patrik

Journal:

Integral Equations and Operator Theory

Year:

2015

Language:

english

File:

PDF, 1009 KB

english, 2015

12

Construction, ergodicity and rate of convergence ofN-particle Langevin dynamics with singular potentials

Florian Conrad, Martin Grothaus

Journal:

Journal of Evolution Equations

Year:

2010

Language:

english

File:

PDF, 513 KB

english, 2010

13

N/V-limit for stochastic dynamics in continuous particle systems

Martin Grothaus, Yuri G. Kondratiev, Michael Röckner

Journal:

Probability Theory and Related Fields

Year:

2007

Language:

english

File:

PDF, 387 KB

english, 2007

14

Self-avoiding Fractional Brownian Motion—The Edwards Model

Martin Grothaus, Maria João Oliveira, José Luís da Silva, Ludwig Streit

Journal:

Journal of Statistical Physics

Year:

2011

Language:

english

File:

PDF, 440 KB

english, 2011

15

Construction of N-Particle Langevin Dynamics forH1,∞-Potentials via Generalized Dirichlet Forms

Florian Conrad, Martin Grothaus

Journal:

Potential Analysis

Year:

2008

Language:

english

File:

PDF, 526 KB

english, 2008

16

Scaphoid Excision with Four-Corner Fusion: A Biomechanical Study

Martin Skie, Matt Grothaus, Despina Ciocanel, Vijay Goel

Journal:

Year:

2007

Language:

english

File:

PDF, 163 KB

english, 2007

17

Limit formulae and jump relations of potential theory in Sobolev spaces

Martin Grothaus, Thomas Raskop

Journal:

GEM - International Journal on Geomathematics

Year:

2010

Language:

english

File:

PDF, 627 KB

english, 2010

18

Delivering Effective Primary Care to Older Adults: A Randomized, Controlled Trial of the Senior Resource Team at Group Health Cooperative

Elizabeth A. Phelan, Benjamin Balderson, Martin Levine, Janet H. Erro, Luesa Jordan, Lou Grothaus, Nirmala Sandhu, Patrick J. Perrault, James P. LoGerfo, Edward H. Wagner

Journal:

Journal of the American Geriatrics Society

Year:

2007

Language:

english

File:

PDF, 118 KB

english, 2007

19

Construction of({mathcal L}^{{p}})-strong Feller Processes via Dirichlet Forms and Applications to Elliptic Diffusions

Baur, Benedict, Grothaus, Martin, Stilgenbauer, Patrik

Journal:

Potential Analysis

Year:

2013

Language:

english

File:

PDF, 551 KB

english, 2013

20

Ergodicity and Rate of Convergence for a Nonsectorial Fiber Lay-Down Process

Grothaus, Martin, Klar, Axel

Journal:

SIAM Journal on Mathematical Analysis

Year:

2008

Language:

english

File:

PDF, 2.68 MB

english, 2008

21

The Analysis of Stochastic Fiber Lay-Down Models: Geometry and Convergence to Equilibrium of the Basic Model

Grothaus, Martin, Klar, Axel, Maringer, Johannes, Stilgenbauer, Patrik

Journal:

Year:

2012

Language:

english

File:

PDF, 214 KB

english, 2012

22

Quadratic actions, semi-classical approximation, and delta sequences in Gaussian analysis

Grothaus, Martin, Streit, Ludwig

Journal:

Reports on Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 1.40 MB

english, 1999

23

REGULAR GENERALIZED FUNCTIONS IN GAUSSIAN ANALYSIS

GROTHAUS, MARTIN, KONDRATIEV, YURI G., STREIT, LUDWIG

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

1999

Language:

english

File:

PDF, 565 KB

english, 1999

24

Construction of relativistic quantum fields in the framework of white noise analysis

Grothaus, Martin, Streit, Ludwig

Journal:

Journal of Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 495 KB

english, 1999

25

KNOTS, FEYNMAN DIAGRAMS AND MATRIX MODELS

GROTHAUS, MARTIN, STREIT, LUDWIG, VOLOVICH, IGOR V.

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

1999

Language:

english

File:

PDF, 561 KB

english, 1999

26

Construction and Strong Feller Property of Distorted Elliptic Diffusion with Reflecting Boundary

Benedict Baur, Martin Grothaus

Journal:

Potential Analysis

Year:

2014

Language:

english

File:

PDF, 640 KB

english, 2014

27

Smooth Contractive Embeddings and Application to Feynman Formula for Parabolic Equations on Smooth Bounded Domains

Baur, Benedict, Conrad, Florian, Grothaus, Martin

Journal:

Communication in Statistics- Theory and Methods

Year:

2011

Language:

english

File:

PDF, 133 KB

english, 2011

28

The Outer Oblique Boundary Problem of Potential Theory

Grothaus, Martin, Raskop, Thomas

Journal:

Numerical Functional Analysis and Optimization

Year:

2009

Language:

english

File:

PDF, 540 KB

english, 2009

29

N/V-LIMIT FOR LANGEVIN DYNAMICS IN CONTINUUM

CONRAD, FLORIAN, GROTHAUS, MARTIN

Journal:

Reviews in Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 593 KB

english, 2011

30

AN INVARIANCE PRINCIPLE FOR THE TAGGED PARTICLE PROCESS IN CONTINUUM WITH SINGULAR INTERACTION POTENTIAL

CONRAD, FLORIAN, FATTLER, TORBEN, GROTHAUS, MARTIN

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2013

Language:

english

File:

PDF, 477 KB

english, 2013

31

TAGGED PARTICLE PROCESS IN CONTINUUM WITH SINGULAR INTERACTIONS

FATTLER, TORBEN, GROTHAUS, MARTIN

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2011

Language:

english

File:

PDF, 368 KB

english, 2011

32

Convergence of Brownian motion with a scaled Dirac delta potential

Conrad, Florian, Grothaus, Martin, Lierl, Janna, Wittich, Olaf

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

2012

Language:

english

File:

PDF, 275 KB

english, 2012

33

CONSTRUCTION OF ELLIPTIC DIFFUSIONS WITH REFLECTING BOUNDARY CONDITION AND AN APPLICATION TO CONTINUOUS N-PARTICLE SYSTEMS WITH SINGULAR INTERACTIONS

Fattler, Torben, Grothaus, Martin

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

2008

Language:

english

File:

PDF, 278 KB

english, 2008

34

Scaling Limit of Stochastic Dynamics in Classical Continuous Systems

Martin Grothaus, Yuri G. Kondratiev, Eugene Lytvynov and Michael Röckner

Journal:

The Annals of Probability

Year:

2003

Language:

english

File:

PDF, 3.09 MB

english, 2003

35

Hypocoercivity for degenerate Kolmogorov equations and applications to the Langevin dynamics

Grothaus, Martin, Stilgenbauer, Patrik

Journal:

Year:

2014

Language:

english

File:

PDF, 181 KB

english, 2014

36

A hypocoercivity related ergodicity method for Kolmogorov equations

Grothaus, Martin, Stilgenbauer, Patrik

Journal:

Year:

2014

Language:

english

File:

PDF, 189 KB

english, 2014

37

[Trends in Mathematics] Stochastic and Infinite Dimensional Analysis ||

Bernido, Christopher C., Carpio-Bernido, Maria Victoria, Grothaus, Martin, Kuna, Tobias, Oliveira, Maria João, da Silva, José Luís

Year:

2016

Language:

english

File:

PDF, 3.60 MB

english, 2016

38

[Trends in Mathematics] Stochastic and Infinite Dimensional Analysis || Detecting Hierarchical Communities in Networks: A New Approach

Bernido, Christopher C., Carpio-Bernido, Maria Victoria, Grothaus, Martin, Kuna, Tobias, Oliveira, Maria João, da Silva, José Luís

Year:

2016

Language:

english

File:

PDF, 324 KB

english, 2016

39

[Trends in Mathematics] Stochastic and Infinite Dimensional Analysis || 38 Years with Professor Ludwig Streit

Bernido, Christopher C., Carpio-Bernido, Maria Victoria, Grothaus, Martin, Kuna, Tobias, Oliveira, Maria João, da Silva, José Luís

Year:

2016

Language:

english

File:

PDF, 151 KB

english, 2016

40

The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution

Bock, Wolfgang, Grothaus, Martin

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2015

Language:

english

File:

PDF, 295 KB

english, 2015

41

[Trends in Mathematics] Stochastic and Infinite Dimensional Analysis || Computer Simulations of Self-Repelling Fractional Brownian Motion

Bernido, Christopher C., Carpio-Bernido, Maria Victoria, Grothaus, Martin, Kuna, Tobias, Oliveira, Maria João, da Silva, José Luís

Year:

2016

Language:

english

File:

PDF, 586 KB

english, 2016

42

A fundamental solution to the Schrödinger equation with Doss potentials and its smoothness

Grothaus, Martin, Riemann, Felix

Journal:

Journal of Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 526 KB

english, 2017

43

[AIP STOCHASTIC AND QUANTUM DYNAMICS OF BIOMOLECULAR SYSTEMS: Proceedings of the 5th Jagna International Workshop - Jagna, Bohol (Philippines) (3–5 January 2008)] AIP Conference Proceedings - The Feynman integrand as a white noise distribution beyond perturbation theory

Grothaus, Martin, Vogel, Anna, Bernido, Christopher C., Carpio-Bernido, M. Victoria

Year:

2008

Language:

english

File:

PDF, 98 KB

english, 2008

44

Stochastic differential equations with sticky reflection and boundary diffusion

Grothaus, Martin, Voßhall, Robert

Journal:

Electronic Journal of Probability

Year:

2017

Language:

english

File:

PDF, 580 KB

english, 2017

45

Construction and analysis of a sticky reflected distorted Brownian motion

Fattler, Torben, Grothaus, Martin, Voßhall, Robert

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2016

File:

PDF, 349 KB

2016

46

Integration by parts on the law of the modulus of the Brownian bridge

Grothaus, Martin, Vosshall, Robert

Journal:

Stochastic Partial Differential Equations: Analysis and Computations

Year:

2018

Language:

english

File:

PDF, 542 KB

english, 2018

47

Skorokhod decomposition for a reflected -strong Feller diffusion with singular drift

Baur, Benedict, Grothaus, Martin

Journal:

Year:

2018

Language:

english

File:

PDF, 2.45 MB

english, 2018

48

[Springer Proceedings in Mathematics & Statistics] Stochastic Partial Differential Equations and Related Fields Volume 229 || Recent Progress on Stochastic Nonlinear Schrödinger Equations

Eberle, Andreas, Grothaus, Martin, Hoh, Walter, Kassmann, Moritz, Stannat, Wilhelm, Trutnau, Gerald

Year:

2018

Language:

english

File:

PDF, 180 KB

english, 2018

49

[Springer Proceedings in Mathematics & Statistics] Stochastic Partial Differential Equations and Related Fields Volume 229 || Stochastic and Deterministic Constrained Partial Differential Equations

Eberle, Andreas, Grothaus, Martin, Hoh, Walter, Kassmann, Moritz, Stannat, Wilhelm, Trutnau, Gerald

Year:

2018

Language:

english

File:

PDF, 198 KB

english, 2018

50

[Springer Proceedings in Mathematics & Statistics] Stochastic Partial Differential Equations and Related Fields Volume 229 || Mean Value Inequalities for Jump Processes

Eberle, Andreas, Grothaus, Martin, Hoh, Walter, Kassmann, Moritz, Stannat, Wilhelm, Trutnau, Gerald

Year:

2018

Language:

english

File:

PDF, 230 KB

english, 2018