Results 61 to 70 of about 144 (141)

Intermittency for the wave equation with Lévy white noise

open access: yes, 2020
In this article, we consider the stochastic wave equation on R + × R driven by the Lévy white noise introduced in MSC 2010: Primary 60H15; secondary 60G51 ...
† Cheikh, Raluca M Balan, B Ndongo
core  

Probability structure preserving and absolute continuity [PDF]

open access: yes, 2002
. – The concept of probability structure preserving mapping is introduced. The idea is applied to define stochastic integral for fractional Brownian motion (fBm) and to obtain an anticipative Girsanov theorem for fBm.
Hu, Yaozhong, Yaozhong Hu
core  

Behavior with respect to the Hurst index of the Wiener Hermite integrals and application to SPDEs

open access: yes, 2019
International audienceWe consider the Wiener integral with respect to a d-parameter Hermite process with Hurst multi-index H = (H 1 , .., H d) ∈ 1 2 , 1 d and we analyze the limit behavior in distribution of this object when the components of H tend to 1
Tudor, Ciprian A., Slaoui, Meryem
core   +1 more source

The obstacle problem for semilinear parabolic partial integro-differential equations

open access: yes, 2015
International audienceWe give a probabilistic interpretation for the weak Sobolev solution of obstacle problem for semilinear parabolic partial integro-differential equations (PIDE).
Matoussi, Anis   +2 more
core   +1 more source

Parameter estimation in diagonalizable bilinear stochastic parabolic equations

open access: yes
Regular models, Singular models, Multiplicative noise, SPDE, Primary 62F12, Secondary 60H15,
Igor Cialenco, Sergey Lototsky
core   +1 more source

On a Stochastic Partial Differential Equation with a Noisy Term [PDF]

open access: yes, 2004
2000 Mathematics Subject Classification: 60H15, 60H40We review results obtained in [13] and [14] on a one-dimensional Burgers-type stochastic differential equation involving fractional power of the Laplacian in its linear part, perturbed by a white noise
Kolkovska, Ekaterina T.
core  

Sub- and Super-solutions of a Nonlinear PDE, and Application to a Semilinear SPDE [PDF]

open access: yes, 2013
2010 Mathematics Subject Classification: 35R60, 60H15, 74H35.We obtain upper and lower bounds for the explosion time of a semi-linear heat equation on a bounded $d$-dimensional domain, perturbed by white noise. The bounds we get are expressed in terms of
Kolkovska, E. T., López-Mimbela, J. A.
core  

Optimal portfolio choice in the bond market

open access: yes
Term structure of interest rates, Malliavin calculus, Utility maximization, Infinite-dimensional stochastic processes, E43, 60H07, 60H15, 91B28,
Michael Tehranchi, Nathanael Ringer
core   +1 more source

A branching particle approximation to a filtering micromovement model of asset price

open access: yes
Particle filters, Monte Carlo approximation, Filtering, Counting process, Stochastic partial differential equation, Ultra-high frequency data, Primary: 60H15, Secondary: 60K35, 35R60, 93E11, 60F05, 91B28,
Jie Xiong, Yong Zeng
core   +1 more source

Existence of Lévy term structure models

open access: yes
Forward curve spaces, Lévy term structure models, Stochastic integration in Hilbert spaces, Strong, weak and mild solutions of infinite dimensional SDEs, 91B28, 91B70, 60G51, 60H15, E43, G10,
Damir Filipović   +2 more
core   +1 more source

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