• 848 Citations
  • 13 h-Index
1979 …2020

Research output per year

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Research Output

  • 848 Citations
  • 13 h-Index
  • 47 Article
  • 2 Conference contribution
  • 1 Chapter
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Article
2020

Existence and uniqueness of the entropy solution of a stochastic conservation law with a Q-Brownian motion

Funaki, T., Gao, Y. & Hilhorst, D., 2020 Jun 1, In : Mathematical Methods in the Applied Sciences. 43, 9, p. 5860-5886 27 p.

Research output: Contribution to journalArticle

2019

Fast-reaction limit for Glauber-Kawasaki dynamics with two components

de Masi, A., Funaki, T., Presutti, E. & Vares, M. E., 2019, In : Alea. 16, 2, p. 957-976 20 p.

Research output: Contribution to journalArticle

Open Access
1 Citation (Scopus)

Motion by Mean Curvature from Glauber–Kawasaki Dynamics

Funaki, T. & Tsunoda, K., 2019 Oct 1, In : Journal of Statistical Physics. 177, 2, p. 183-208 26 p.

Research output: Contribution to journalArticle

Sharp interface limit for stochastically perturbed mass conserving Allen-Cahn equation

Funaki, T. & Yokoyama, S., 2019 Jan 1, In : Annals of Probability. 47, 1, p. 560-612 53 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2018

Convergence of a finite volume scheme for a stochastic conservation law involving a Q-Brownian motion

Funaki, T., Gao, Y. & Hilhorst, D., 2018 Jun, In : Discrete and Continuous Dynamical Systems - Series B. 23, 4, p. 1459-1502 44 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Hydrodynamic Limit for Exclusion Processes

Funaki, T., 2018 Dec 1, In : Communications in Mathematics and Statistics. 6, 4, p. 417-480 64 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2017

A coupled KPZ equation, its two types of approximations and existence of global solutions

Funaki, T. & Hoshino, M., 2017 Aug 1, In : Journal of Functional Analysis. 273, 3, p. 1165-1204 40 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Derivation of replicator–mutator equations from a model in population genetics

Wakano, J. Y., Funaki, T. & Yokoyama, S., 2017 Aug 1, In : Japan Journal of Industrial and Applied Mathematics. 34, 2, p. 473-488 16 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2015

Existence and uniqueness of solutions to stochastic Rayleigh-Plesset equations

Funaki, T., Ohnawa, M., Suzuki, Y. & Yokoyama, S., 2015 May 1, In : Journal of Mathematical Analysis and Applications. 425, 1, p. 20-32 13 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Infinitesimal invariance for the coupled KPZ equations

Funaki, T., 2015, In : Lecture Notes in Mathematics. 2137, p. 37-47 11 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates

Bolthausen, E., Chiyonobu, T. & Funaki, T., 2015, In : Journal of the Mathematical Society of Japan. 67, 4, p. 1359-1412 54 p.

Research output: Contribution to journalArticle

2014

Equivalence of Ensembles Under Inhomogeneous Conditioning and Its Applications to Random Young Diagrams

Funaki, T., 2014 Jan 1, In : Journal of Statistical Physics. 154, 1-2, p. 588-609 22 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2013

Fluctuations in an evolutional model of two-dimensional Young diagrams

Funaki, T., Sasada, M., Sauer, M. & Xie, B., 2013 Jan 21, In : Stochastic Processes and their Applications. 123, 4, p. 1229-1275 47 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Kpz equation, its renormalization and invariant measures

Funaki, T. & Quastel, J., 2013 Jan 1, In : Stochastics and Partial Differential Equations: Analysis and Computations. 3, 2, p. 159-220 62 p.

Research output: Contribution to journalArticle

23 Citations (Scopus)
2012

A link between microscopic and macroscopic models of self-organized aggregation

Funaki, T., Izuhara, H., Mimura, M. & Urabe, C., 2012 Dec 1, In : Networks and Heterogeneous Media. 7, 4, p. 705-740 36 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Hydrodynamic Limit for the ∇φ Interface Model via Two-Scale Approach

Funaki, T., 2012 Jan 1, In : Springer Proceedings in Mathematics. 11, p. 463-490 28 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2010

Hydrodynamic Limit for an Evolutional Model of Two-Dimensional Young Diagrams

Funaki, T. & Sasada, M., 2010 Jun 28, In : Communications in Mathematical Physics. 299, 2, p. 335-363 29 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Scaling limits for weakly pinned random walks with two large deviation minimizers

Funaki, T. & Otobe, T., 2010 Jul 1, In : Journal of the Mathematical Society of Japan. 62, 3, p. 1005-1041 37 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2009

A stochastic heat equation with the distributions of Lévy processes as its invariant measures

Funaki, T. & Xie, B., 2009 Feb 1, In : Stochastic Processes and their Applications. 119, 2, p. 307-326 20 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Concentration under scaling limits for weakly pinned Gaussian random walks

Bolthausen, E., Funaki, T. & Otobe, T., 2009 Mar 1, In : Probability Theory and Related Fields. 143, 3-4, p. 441-480 40 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
2007

Dichotomy in a scaling limit underwiener measure with density

Funaki, T., 2007 Jan 1, In : Electronic Communications in Probability. 12, p. 173-183 11 p.

Research output: Contribution to journalArticle

Open Access
4 Citations (Scopus)

Dynamic approach to a stochastic domination: The FKG and Brascamp-Lieb inequalities

Funaki, T. & Toukairin, K., 2007 Jun 1, In : Proceedings of the American Mathematical Society. 135, 6, p. 1915-1922 8 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Integration by parts formulae for Wiener measures on a path space between two curves

Funaki, T. & Ishitani, K., 2007 Mar 1, In : Probability Theory and Related Fields. 137, 3-4, p. 289-321 33 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

On some Fourier aspects of the construction of certain Wiener integrals

Funaki, T., Hariya, Y., Hirsch, F. & Yor, M., 2007 Jan 1, In : Stochastic Processes and their Applications. 117, 1, p. 1-22 22 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2006

On the construction of Wiener integrals with respect to certain pseudo-Bessel processes

Funaki, T., Hariya, Y., Hirsch, F. & Yor, M., 2006 Dec 1, In : Stochastic Processes and their Applications. 116, 12, p. 1690-1711 22 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2004

Zero temperature limit for interacting Brownian particles. I. Motion of a single body

Funaki, T., 2004 Apr 1, In : Annals of Probability. 32, 2, p. 1201-1227 27 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Zero temperature limit for interacting Brownian particles. II. Coagulation in one dimension

Funaki, T., 2004 Apr 1, In : Annals of Probability. 32, 2, p. 1228-1246 19 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2003

Hydrodynamic limit for ∇φ interface model on a wall

Funaki, T., 2003 Jun 1, In : Probability Theory and Related Fields. 126, 2, p. 155-183 29 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
2001

Fluctuations for ∇φ interface model on a wall

Funaki, T. & Olla, S., 2001 Jul 1, In : Stochastic Processes and their Applications. 94, 1, p. 1-27 27 p.

Research output: Contribution to journalArticle

44 Citations (Scopus)

Large deviations for the Ginzburg-Landau ∇ φ interface model

Funaki, T. & Nishikawa, T., 2001 Aug, In : Probability Theory and Related Fields. 120, 4, p. 535-568 34 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
1999

Free boundary problem from stochastic lattice gas model

Funaki, T., 1999 Sep, In : Annales de l'institut Henri Poincare (B) Probability and Statistics. 35, 5, p. 573-603 31 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
20 Citations (Scopus)
1998

Fractal Burgers Equations

Biler, P., Funaki, T. & Woyczynski, W. A., 1998 Sep 1, In : Journal of Differential Equations. 148, 1, p. 9-46 38 p.

Research output: Contribution to journalArticle

151 Citations (Scopus)
1997

Motion by mean curvature from the Ginzburg-Landau ▽ φ interface model

Funaki, T. & Spohn, H., 1997 Jan 1, In : Communications in Mathematical Physics. 185, 1, p. 1-36 36 p.

Research output: Contribution to journalArticle

88 Citations (Scopus)
1995

The scaling limit for a stochastic PDE and the separation of phases

Funaki, T., 1995 Jun 1, In : Probability Theory and Related Fields. 102, 2, p. 221-288 68 p.

Research output: Contribution to journalArticle

60 Citations (Scopus)
1994

Stationary states of random Hamiltonian systems

Fritz, J., Funaki, T. & Lebowitz, J. L., 1994 Jun 1, In : Probability Theory and Related Fields. 99, 2, p. 211-236 26 p.

Research output: Contribution to journalArticle

34 Citations (Scopus)
1992

A stochastic partial differential equation with values in a manifold

Funaki, T., 1992 Nov 1, In : Journal of Functional Analysis. 109, 2, p. 257-288 32 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)
1991

Regularity properties for stochastic partial differential equations of parabolic type

Funaki, T., 1991, In : Osaka Journal of Mathematics. 28, 3, p. 495-516 22 p.

Research output: Contribution to journalArticle

32 Citations (Scopus)
2 Citations (Scopus)
1989

Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model

Funaki, T., 1989 Jun 1, In : Probability Theory and Related Fields. 82, 1, p. 39-93 55 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
1985

The diffusion approximation of the spatially homogeneous boltzmann equation

Funaki, T., 1985 Mar, In : Duke Mathematical Journal. 52, 1, p. 1-23 23 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
1984
61 Citations (Scopus)

Random Motion of Strings and Stochastic Differential Equations on the Space C([0, 1], Rd)

Funaki, T., 1984 Jan 1, In : North-Holland Mathematical Library. 32, C, p. 121-133 13 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
1983

Random motion of strings and related stochastic evolution equations

Funaki, T., 1983, In : Nagoya Mathematical Journal. 89, p. 129-193 65 p.

Research output: Contribution to journalArticle

97 Citations (Scopus)
3 Citations (Scopus)
1979
10 Citations (Scopus)

On a new derivation of the Navier-Stokes equation

Inoue, A. & Funaki, T., 1979 Feb 1, In : Communications in Mathematical Physics. 65, 1, p. 83-90 8 p.

Research output: Contribution to journalArticle

23 Citations (Scopus)