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19942026
most citedChatGPT: Jack of all trades, master of none

707 citations

Showing 2017 · math.PRShow all

5 papers · 2 filters

math.PR2017★ 5 cited

Fluctuation theory for level-dependent Lévy risk processes

Irmina Czarna, José-Luis Pérez, Tomasz Rolski +1

A level-dependent Lévy process solves the stochastic differential equation , where is a spectrally negative Lévy process. A special case is a multi-re…

math.PR2017★ 3 cited

Strong stationary times and its use in cryptography

Paweł Lorek, Filip Zagórski, Michał Kulis

This paper presents applicability of Strong Stationary Times (SST) techniques in the area of cryptography. The applicability is in three areas: *) Propositions of a new class of cr…

math.PR2017★ 12 cited

Spectral Heat Content for Lévy Processes

Tomasz Grzywny, Hyunchul Park, Renming Song

In this paper we study the spectral heat content for various Lévy processes. We establish the asymptotic behavior of the spectral heat content for Lévy processes of bounded variati…

math.PR2017

Space and time inversions of stochastic processes and Kelvin transform

Larbi Alili, Loïc Chaumont, Piotr Graczyk +1

Let be a standard Markov process. We prove that a space inversion property of implies the existence of a Kelvin transform of -harmonic, excessive and operator-harmonic f…

math.PR2017★ 4 cited

Two-dimensional ruin probability for subexponential claim size

Sergey Foss, Dmitry Korshunov, Zbigniew Palmowski +1

We analyse the asymptotics of ruin probabilities of two insurance companies (or two branches of the same company) that divide between them both claims and premia in some specified…