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

707 citations

Showing 2014 · math.PRShow all

6 papers · 2 filters

math.PR2014★ 1 cited

On Future Drawdowns of Lévy processes

E. J. Baurdoux, Z. Palmowski, M. R. Pistorius

For a given Lévy process and for fixed and we analyse the {\it future drawdown extremes} that ar…

math.PR2014

Limit Theorems and Governing Equations for Levy Walks

M. Magdziarz, H. P. Scheffler, P. Straka +1

The Levy Walk is the process with continuous sample paths which arises from consecutive linear motions of i.i.d. lengths with i.i.d. directions. Assuming speed 1 and motions in the…

math.PR2014★ 12 cited

Discrete time ruin probability with Parisian delay

Irmina Czarna, Zbigniew Palmowski, Przemysław Światek

In this paper we evaluate the probability of the discrete time Parisian ruin that occurs when surplus process stays below or at zero at least for some fixed duration of time .…

math.PR2014★ 9 cited

Hitting times of points for symmetric Lévy processes with completely monotone jumps

Tomasz Juszczyszyn, Mateusz Kwaśnicki

Small-space and large-time estimates and asymptotic expansion of the distribution function and (the derivatives of) the density function of hitting times of points for symmetric Lé…

math.PR2014★ 4 cited

Dirichlet heat kernel for unimodal Lévy processes

K. Bogdan, T. Grzywny, M. Ryznar

We estimate the heat kernel of the smooth open set for the isotropic unimodal pure-jump Lévy process with infinite Lévy measure and weakly scaling Lévy-Kchintchine exponent.

math.PR2014★ 3 cited

New families of subordinators with explicit transition probability semigroup

James Burridge, Mateusz Kwaśnicki, Alexey Kuznetsov +1

There exist only a few known examples of subordinators for which the transition probability density can be computed explicitly along side an expression for its Lévy measure and Lap…