Zobrazeno 1 - 10
of 171
pro vyhledávání: '"Catuogno, Pedro"'
Whenever an It\^o-Wentsel type of formula holds for composition of flows of a certain differential dynamics, there exists locally a decomposition of the corresponding flow according to complementary distributions (or foliations, in the case of integr
Externí odkaz:
http://arxiv.org/abs/2212.08866
This article concerns the large deviations regime and the consequent solution of the Kramers problem for a two-time scale stochastic system driven by a common jump noise signal perturbed in small intensity $\varepsilon>0$ and with accelerated jumps b
Externí odkaz:
http://arxiv.org/abs/2207.07081
Let $P(M,G)$ be a principal fiber bundle, let $\omega$ be a connection form on $P(M,G)$, and consider a projectable connection $\nabla^{P}$ on $P(M,G)$. The aim of this work is to determine the $\nabla^{P}$-martingales in $P(M,G)$. Our results allow
Externí odkaz:
http://arxiv.org/abs/2206.09996
This article shows an It\^o-Wentzell type formula adapted to rough paths with $\alpha$-H\"older regularity $\alpha \in (\frac{1}{3},\frac{1}{2}]$. We improve previous results of R. Castrequini and P. Catuogno for the Young integral and C. Keller and
Externí odkaz:
http://arxiv.org/abs/2206.09905
Autor:
Catuogno, Pedro J., Ledesma, Diego S.
We give a new approach to prove the existence of a weak solution of \[dx_t = f(t,x_t)dt + g(t)dB^H_t\] where $B^H_t$ is a fractional Brownian motion with values in a separable Hilbert space for suitable functions $f$ and $g$. Our idea is to use the i
Externí odkaz:
http://arxiv.org/abs/2206.07159
In this paper we study geometric aspects of dynamics generated by Young differential equations (YDE) driven by $\alpha$-H\"older trajectories with $\alpha \in (1/2, 1)$. We present a number of properties and geometrical constructions on this low regu
Externí odkaz:
http://arxiv.org/abs/2204.03527
Autor:
Catuogno, Pedro J., Ledesma, Diego S.
Publikováno v:
In Physica D: Nonlinear Phenomena February 2024 458
This work studies a two-time-scale functional system given by two jump-diffusions under the scale separation by a small parameter $\varepsilon \rightarrow 0$. The coefficients of the equations that govern the dynamics of the system depend on the segm
Externí odkaz:
http://arxiv.org/abs/1909.10894
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena May 2022 158
Autor:
Catuogno, Pedro1 pedrojc@ime.unicamp.br, Stelmastchuk, Simao N.2 simnaos@ufpr.br
Publikováno v:
Proyecciones - Journal of Mathematics. Aug2023, Vol. 42 Issue 4, p1051-1065. 15p.