[HTML][HTML] Density and tails of unimodal convolution semigroups

K Bogdan, T Grzywny, M Ryznar - Journal of Functional Analysis, 2014 - Elsevier
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[图书][B] Computational methods for quantitative finance: Finite element methods for derivative pricing

N Hilber, O Reichmann, C Schwab, C Winter - 2013 - books.google.com
Many mathematical assumptions on which classical derivative pricing methods are based
have come under scrutiny in recent years. The present volume offers an introduction to …

[HTML][HTML] Estimates of transition densities and their derivatives for jump Lévy processes

K Kaleta, P Sztonyk - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
Estimates of transition densities and their derivatives for jump Lévy processes - ScienceDirect
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[HTML][HTML] Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities

M Bonforte, J Endal - Journal of Functional Analysis, 2023 - Elsevier
We establish boundedness estimates for solutions of generalized porous medium equations
of the form∂ t u+(− L)[um]= 0 in RN×(0, T), where m≥ 1 and− L is a linear, symmetric, and …

Lévy matters. VI

F Kühn - Lecture Notes in Mathematics, 2017 - Springer
Due to the increasing power of modern computers, it has become ever more popular to use
sophisticated models to describe the irregular behaviour of real life phenomena. Nowadays …

Estimates of heat kernels of non-symmetric Lévy processes

T Grzywny, K Szczypkowski - Forum Mathematicum, 2021 - degruyter.com
We investigate densities of vaguely continuous convolution semigroups of probability
measures on ℝ d. First, we provide results that give upper estimates in a situation when the …

Heat kernel estimates for symmetric jump processes with mixed polynomial growths

J Bae, J Kang, P Kim, J Lee - The Annals of Probability, 2019 - JSTOR
In this paper, we study the transition densities of pure-jump symmetric Markov processes in
ℝ d, whose jumping kernels are comparable to radially symmetric functions with mixed …

Heat kernel estimates for subordinate Brownian motions

A Mimica - Proceedings of the London Mathematical Society, 2016 - academic.oup.com
In this article, we study transition probabilities of a class of subordinate Brownian motions.
Under mild assumptions on the Laplace exponent of the corresponding subordinator, sharp …

Transition density estimates for diagonal systems of SDEs driven by cylindrical -stable processes

T Kulczycki, M Ryznar - arXiv preprint arXiv:1711.07539, 2017 - arxiv.org
We consider the system of stochastic differential equation $ dX_t= A (X_ {t-})\, dZ_t $, $ X_0=
x $, driven by cylindrical $\alpha $-stable process $ Z_t $ in $\mathbb {R}^ d $. We assume …

[HTML][HTML] Transition density estimates for jump Lévy processes

P Sztonyk - Stochastic processes and their applications, 2011 - Elsevier
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