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Pierre Patie
Pierre Patie
Verified email at cornell.edu
Title
Cited by
Cited by
Year
Representations of the First Hitting Time Density of an Ornstein-Uhlenbeck Process
L Alili, P Patie, JL Pedersen
Stochastic Models 21 (4), 967-980, 2005
2902005
Strategic long-term financial risks: Single risk factors
P Embrechts, R Kaufmann, P Patie
Computational optimization and applications 32, 61-90, 2005
184*2005
Risk management for derivatives in illiquid markets: A simulation study
R Frey, P Patie
Advances in finance and stochastics: essays in honour of Dieter Sondermann …, 2002
1452002
Bernstein-gamma functions and exponential functionals of Lévy processes
P Patie, M Savov
Elect. J. Probab. 23, 1-101, 2018
712018
Spectral expansions of non-self-adjoint generalized Laguerre semigroups
P Patie, M Savov
Memo AMS 272 (1336), 2021
60*2021
Exponential functional of a new family of Lévy processes and self-similar continuous state branching processes with immigration
P Patie
Bulletin des Sciences Mathématiques 133 (4), 355-382, 2009
56*2009
Infinite divisibility of solutions to some self-similar integro-differential equations and exponential functionals of Lévy processes
P Patie
Annales de l’Institut Henri Poincaré-Probabilités et Statistiques 45 (3 …, 2009
532009
Law of the absorption time of some positive self-similar Markov processes
P Patie
Ann. Probab. 40 (2), 765-787, 2012
472012
On some first passage time problems motivated by financial applications
P Patie
Doctoral Thesis - ETH Zurich, 2004
452004
On a martingale associated to generalized Ornstein–Uhlenbeck processes and an application to finance
P Patie
Stochastic processes and their applications 115 (4), 593-607, 2005
40*2005
A Wiener–Hopf type factorization for the exponential functional of Lévy processes
JC Pardo, P Patie, M Savov
Journal of the London Mathematical Society 86 (3), 930-956, 2012
392012
Intertwining certain fractional derivatives
P Patie, T Simon
Potential analysis 36, 569-587, 2012
382012
Exponential functional of Lévy processes: Generalized Weierstrass products and Wiener–Hopf factorization
P Patie, M Savov
Comptes Rendus. Mathématique 351 (9-10), 393-396, 2013
322013
Extended factorizations of exponential functionals of Lévy processes
P Patie, M Savov
Elect. J. Probab. 17, 1-22, 2012
322012
First exit time probability for multidimensional diffusions: A PDE-based approach
P Patie, C Winter
Journal of computational and applied mathematics 222 (1), 42-53, 2008
322008
On the first crossing times of a Brownian motion and a family of continuous curves
L Alili, P Patie
Comptes Rendus. Mathématique 340 (3), 225-228, 2005
28*2005
A refined factorization of the exponential law
P Patie
Bernoulli 17 (2), 814-826, 2011
272011
Boundary-crossing identities for diffusions having the time-inversion property
L Alili, P Patie
Journal of Theoretical Probability 23, 65-84, 2010
262010
Intertwining, excursion theory and Krein theory of strings for non-self-adjoint Markov semigroups
P Patie, M Savov, Y Zhao
The Annals of Probability 47 (5), 3231-3277, 2019
232019
Cauchy problem of the non-self-adjoint Gauss–Laguerre semigroups and uniform bounds for generalized Laguerre polynomials
P Patie, M Savov
Journal of Spectral Theory 7 (3), 797-846, 2017
232017
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Articles 1–20