9 citations · 15 across the 7 of their papers we have counts for
7 papers
Pathwise Uniqueness for Multiplicative Young and Rough Differential Equations Driven by Fractional Brownian Motion
Toyomu Matsuda, Avi Mayorcas
We show pathwise uniqueness of multiplicative SDEs, in arbitrary dimensions, driven by fractional Brownian motion with Hurst parameter with volatility coefficient $σ…
Level crossings of fractional Brownian motion
Purba Das, Rafał Łochowski, Toyomu Matsuda +1
Since the classical work of Lévy, it is known that the local time of Brownian motion can be characterized through the limit of level crossings. While subsequent extensions of this…
Anderson Hamiltonians with singular potentials
Toyomu Matsuda, Willem van Zuijlen
We construct random Schrödinger operators, called Anderson Hamiltonians, with Dirichlet and Neumann boundary conditions for a fairly general class of singular random potentials on…
An extension of the stochastic sewing lemma and applications to fractional stochastic calculus
Toyomu Matsuda, Nicolas Perkowski
We give an extension of Lê's stochastic sewing lemma [Electron. J. Probab. 25: 1 - 55, 2020]. The stochastic sewing lemma proves convergence in of Riemann type sums $\sum _{[…
Integrated density of states of the Anderson Hamiltonian with two-dimensional white noise
Toyomu Matsuda
We construct the integrated density of states of the Anderson Hamiltonian with two-dimensional white noise by proving the convergence of the Dirichlet eigenvalue counting measures…
Global well-posedness of the two-dimensional stochastic complex Ginzburg-Landau equation with cubic nonlinearity
Toyomu Matsuda
The aim of this paper is to prove, under minimum assumptions, the global well-posedness of the two-dimensional stochastic complex Ginzburg-Landau equation on the torus driven by th…
Characterization of the support for Wick powers of the additive stochastic heat equation
Toyomu Matsuda
Let be the stationary solution of the additive stochastic heat equation on the two-dimensional torus, where is the space-time white noise. The…