Zobrazeno 1 - 10
of 141
pro vyhledávání: '"Čoupek, P."'
Autor:
Čoupek, Pavel
Let $K$ be an absolutely unramified $p$-adic field. We establish a ramification bound, depending only on the given prime $p$ and an integer $i$, for mod $p$ Galois representations associated with Wach modules of height at most $i$. Using an instance
Externí odkaz:
http://arxiv.org/abs/2410.23453
Autor:
Browning, Thomas L., Čoupek, Pavel, Eischen, Ellen, Frechette, Claire, Hong, Serin, Lee, Si Ying, Marcil, David
We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy employs certain differential operators. It is inspired by work of Cl\'ery
Externí odkaz:
http://arxiv.org/abs/2408.05198
In the article, the rough path theory is extended to cover paths from the exponential Besov-Orlicz space \[B^\alpha_{\Phi_\beta,q}\quad\mbox{ for }\quad \alpha\in (1/3,1/2],\,\quad \Phi_\beta(x) \sim \mathrm{e}^{x^\beta}-1\quad\mbox{with}\quad \beta\
Externí odkaz:
http://arxiv.org/abs/2406.02793
In this paper, we study parameter identification for solutions to (possibly non-linear) SDEs driven by additive Rosenblatt process and singularity of the induced laws on the path space. We propose a joint estimator for the drift parameter, diffusion
Externí odkaz:
http://arxiv.org/abs/2403.12610
Autor:
Čoupek, Petr, Ondreját, Martin
In the article, Besov-Orlicz regularity of sample paths of stochastic processes that are represented by multiple integrals of order $n\in\mathbb{N}$ is treated. We give sufficient conditions for the considered processes to have paths in the exponenti
Externí odkaz:
http://arxiv.org/abs/2111.12383
Publikováno v:
Trans. Amer. Math. Soc. 376 (2023), no. 4, 2573-2613
This article generalizes the geometric quadratic Chabauty method, initiated over $\mathbb{Q}$ by Edixhoven and Lido, to curves defined over arbitrary number fields. The main result is a conditional bound on the number of rational points on curves tha
Externí odkaz:
http://arxiv.org/abs/2108.05235
Autor:
Čoupek, Pavel
For a prime $p>2$ and a smooth proper $p$-adic formal scheme $X$ over $\mathcal{O}_K$ where $K$ is a $p$-adic field, we study a series of conditions ($\mathrm{Cr}_s$), $s\geq 0$ that partially control the $G_K$-action on the image of the associated B
Externí odkaz:
http://arxiv.org/abs/2108.03833
In the article, integration of temporal functions in (possibly non-UMD) Banach spaces with respect to (possibly non-Gaussian) fractional processes from a finite sum of Wiener chaoses is treated. The family of fractional processes that is considered i
Externí odkaz:
http://arxiv.org/abs/2012.09205
In the article, some bilinear evolution equations in Hilbert space driven by paths of low regularity are considered and solved explicitly. The driving paths are scalar-valued and continuous, and they are assumed to have a finite $p$-th variation alon
Externí odkaz:
http://arxiv.org/abs/1912.10415
A stochastic calculus is given for processes described by stochastic integrals with respect to fractional Brownian motions and Rosenblatt processes somewhat analogous to the stochastic calculus for It\^{o} processes. These processes for this stochast
Externí odkaz:
http://arxiv.org/abs/1908.00296