Humboldt University at Berlin
Department of Mathematics
Stochastics, Statistics and Mathematical Finance
Homepage Peter Imkeller



Peter Imkeller - Publications since 1997

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L. Arnold, P. Imkeller,
Normal forms for stochastic differential equations, Oct. 13, 1997
pdf (338 K), .pdf.gz (181 K)

P. Imkeller,
The smoothness of laws of random flags and Oseledets spaces of linear stochastic differential equations, Nov. 14, 1997
pdf (369 K), .pdf.gz (266 K)

P. Imkeller, M. Scheutzow,
On the spatial behaviour of stochastic flows in Euclidean space, Sept. 12, 1997
pdf (311 K) .pdf.gz (211 K)

L. Arnold, P. Imkeller,
On the integrability condition in the Multiplicative Ergodic Theorem for Stochastic Differential Equations,
pdf (218 K), .pdf.gz (108 K)

F. Weisz, P. Imkeller,
Critical dimensions for the existence of self-intersection local times of the n-parameter Brownian motion in Rd Oct. 13, 1997
pdf (219 K), .pdf.gz (139 K)

L. Arnold, P. Imkeller,
Rotation Numbers for Linear Stochastic Differential Equations
pdf (253 K), .pdf.gz (133 K)

P. Imkeller, C. Lederer,
An explicit description of the Lyapunov exponents of the noisy damped harmonic oscillator
pdf (315 K), .pdf.gz (184 K)

H. Crauel, P. Imkeller, M. Steinkamp,
Bifurcation of one dimensional stochastic differential equations
pdf (242 K), .pdf.gz (132 K)

J. Amendinger, P. Imkeller, M. Schweizer
Additional Logarithmic Utility of an Insider
pdf (331 K), .pdf.gz (181 K)

P. Imkeller, F. Weisz
Double points of the Brownian sheet in Rd and the geometry of the parameter space Nov. 20, 1998
pdf (297 K), .pdf.gz (181 K)

P. Imkeller, B. Schmalfuss
The conjugacy of stochastic and random differential equations and the existence of global attractors Nov. 27, 1998
pdf (338 K), .pdf.gz (214 K)

P. Imkeller, C. Lederer
On the cohomology of stochastic and random differential equations May 26, 2000
pdf (290 K), .pdf.gz (162 K)

P. Imkeller, C. Lederer
Some formulas for Lyapunov exponents and rotation numbers in two dimensions and the stability of the harmonic oscillator and the inverted pendulum July 21, 1999
pdf (374 K), .pdf.gz (234 K)

P. Imkeller, M. Pontier, F. Weisz
Free lunch and arbitrage possibilities in a financial market model with an insider May 26, 2000
pdf (405 K), .pdf.gz (288 K)

P. Imkeller
Energy Balance Models - viewed from Stochastic Dynamics  October 14, 1999
  pdf  (408 K),  .pdf.gz  (218 K)

A. Monahan, L. Pandolfo, P. Imkeller
Stochastic Confinement of Rossby Waves by Fluctuating Eastward Flows  February 10, 2000
  pdf  (313 K),  .pdf.gz  (221 K)

P. Imkeller, A. Monahan, L. Pandolfo
Some mathematical remarks concerning the localization of planetary waves in a stochastic background flow  May 26, 2000
  pdf  (264 K),  .pdf.gz  (146 K)

L. Arnold, P. Imkeller
The Kramers Oscillator Revisited  February 10, 2000
  pdf  (219 K),  .pdf.gz  (96 K)

P. Imkeller, I. Pavlyukevich
Stochastic Resonance in Two-State Markov Chains  December 4, 2000
  pdf (172 K)   .pdf.gz (87 K)

L. Arnold, P. Imkeller, N. S. Namachchivaya
The Asymptotic Stability of Weakly Perturbed Two Dimensional Hamiltonian Systems  May 8, 2001
  pdf (96 K)   .pdf.gz (78 K)

P. Imkeller
Random times at which insiders can have free lunches  August 22, 2001
  pdf (220 K)   .pdf.gz (129 K)

L. Arnold, P. Imkeller, N. S. Namachchivaya
The asymptotic stability of a noisy nonlinear oscillator  November 30, 2001
  pdf (312 K)   .ps.gz (131 K)

P. Imkeller
Malliavin's calculus in insider models: additional utility and free lunches  January 21, 2002
  pdf (211 K)   .pdf.gz (115 K)

P. Imkeller, G. Milstein
The moment Lyapunov exponent for conservative systems with small periodic and random perturbations  January 28, 2002
  pdf (245 K)   .pdf.gz (144 K)

P. Imkeller, C. Lederer
The conjugation of stochastic and random differential equations, and local linearization of stochastic flows  April 4, 2002
  pdf (274 K)   .pdf.gz (172 K)

S. Herrmann, P. Imkeller
Barrier crossings characterize stochastic resonance  August 19, 2002
  pdf (267 K)   .pdf.gz (153 K)

P. Imkeller, I. Pavlyukevich
Model Reduction and Stochastic Resonance  June 14, 2002
  pdf (597 K)    .ps.gz (326 K)

P. Imkeller, A. Monahan
Conceptual stochastic climate models  August 20, 2002
  pdf (198 K)    .pdf.gz (111 K)

J. M. Corcuera, P. Imkeller, A. Kohatsu-Higa, D. Nualart
Additional utility of insiders with imperfect dynamical information  September 26, 2002
  pdf (178 K)    .ps.gz (148 K)

P. Imkeller, I. Pavlyukevich
Stochastic resonance: a comparative study of two-state models  October 23, 2002
  pdf (284 K)   .ps.gz (120 K)

P. Imkeller, I. Pavlyukevich
The reduction of potential diffusions to finite state Markov chains and stochastic resonance  October 23, 2002
  pdf (260 K)    .ps.gz (120 K)

L. Arnold, P. Imkeller, Y. Wu
Reduction of deterministic coupled atmosphere-ocean models to stochastic ocean models: a numerical case study of the Lorenz-Maas system  December 20, 2002
  pdf (13736 K)    .ps.gz (5849 K)

S. Herrmann, P. Imkeller
The exit problem for diffusions with time periodic drift and stochastic resonance  January 24, 2003
  pdf (656 K)    .ps.gz (461 K)

S. Herrmann, P. Imkeller, I. Pavlyukevich
Stochastic resonance: non-robust and robust tuning notions  February 13, 2003
  pdf (402 K)    .ps.gz (342 K)

P. Imkeller, P.Kloeden
On the computation of invariant measures in random dynamical systems  February 24, 2003
  pdf (240 K)    .ps.gz (147 K)

L. Arnold, P. Imkeller, Y. Wu
Reduction of deterministic coupled atmosphere-ocean models to stochastic ocean models: a numerical case study of the Lorenz-Maas system (short version)  June 24, 2003
  pdf (13889 K)    .ps.gz (7152 K)

S. Ankirchner, P. Imkeller
Finite utility on financial markets with asymmetric information and structure properties of the price dynamics  September 10, 2003
  pdf (252 K)    .ps.gz (199 K)

Y. Hu, P. Imkeller, M. Müller
Partial Equilibrium and Market Completion  September 10, 2003
  pdf (241 K)    .ps.gz (200 K)

S. Herrmann, P. Imkeller, I. Pavlyukevich
Two Mathematical Approaches to Stochastic Resonance  December 17, 2003
  pdf (273 K)    .ps.gz (263 K)

Y. Hu, P. Imkeller, M. Müller
Utility maximization in incomplete markets  December 17, 2003
  pdf (218 K)    .ps.gz (181 K)

S. Chaumont, P. Imkeller, M. Müller
Equilibrium trading of climate and weather risk and numerical simulation in a Markovian framework  January 15, 2004
  pdf (540 K)    .ps.gz (224 K)

S. Ankirchner, S. Dereich, P. Imkeller
The Shannon information of filtrations and the additional logarithmic utility of insiders  July 15, 2004
  pdf (280 K)    .ps.gz (236 K)

M. Fischer, P. Imkeller
A two state model for noise-induced resonance in bistable systems with delays  July 15, 2004
  pdf (394 K)    .ps.gz (276 K)

P. Imkeller, I. Pavlyukevich
First exit times of solutions of non-linear stochastic differential equations driven by symmetric Levy processes with alpha-stable component  September 15, 2004
  pdf (405 K)    .ps.gz (189 K)

S. Herrmann, P. Imkeller, D. Peithmann
Large deviations for diffusions with time periodic drift and stochastic resonance  April 13, 2005
  pdf (314 K)    .ps.gz (279 K)

S. Ankirchner, S. Dereich, P. Imkeller
Enlargement of filtrations and continuous Girsanov-type embeddings  November 15, 2004
  pdf (252 K)    .ps.gz (211 K)

S. Chaumont, U. Horst, P. Imkeller, M. Mller
A simple model for trading climate risk  March 8, 2005
  pdf (244 K)    .ps.gz (211 K)

M. Fischer, P. Imkeller
Noise induced resonance in bistable systems caused by delay feedback  March 15, 2005
  pdf (557 K)    .ps.gz (405 K)

S. Fang, P. Imkeller, T. Zhang
Global flows for stochastic differential equations without global Lipschitz conditions  September 12, 2005
  pdf (213 K)    .ps.gz (181 K)

S. Ankirchner, P. Imkeller, A. Popier
Optimal cross hedging of insurance derivatives  March 19, 2007
  pdf (253 K)    .ps.gz (207 K)

P. Imkeller, I. Pavlyukevich
Levy flights: transitions and meta-stability  January 11, 2006
  pdf (238 K)  

P. Imkeller, I. Pavlyukevich
Meta-stable Behavior of Small Noise Levy-Driven Diffusions  July 21, 2006
  pdf (348 K)  

S. Ankirchner, P. Imkeller, A. Popier
On measure solutions of backward stochastic differential equations February 12, 2008
  pdf (217 K)   .ps.gz (171 K)

S. Ankirchner, P. Imkeller
Financial markets with asymmetric information: information drift, additional utility and entropy August 25, 2006
  pdf (160 K)   .ps.gz (72 K)

S. Herrmann, P. Imkeller, D. Peithmann
Large deviations and a Kramers' type law for self-stabilizing diffusions November 7, 2006
  pdf (1086 K)  

S. Ankirchner, P. Imkeller, G. Reis
Classical and Variational Differentiability of BSDEs with Quadratic Growth September 28, 2007
  pdf (301 K)   .ps.gz (275 K)

S. Ankirchner, P. Imkeller, G. Reis
Pricing and hedging of derivatives based on non-tradable underlyings July 4, 2007
  pdf (246 K)   .ps.gz (212 K)

P. Imkeller, I. Pavlyukevich, T. Wetzel
First exit times for Levy-driven diffusions with exponentially light jumps December 3, 2007
  pdf (265 K)   .ps.gz (216 K)

S. Ankirchner, G. Heyne, P. Imkeller
A BSDE approach to the Skorokhod embedding problem for the Brownian motion with drift December 11, 2007
  pdf (200 K)   .ps.gz (164 K)

S. Ankirchner, P. Imkeller
Quadratic hedging of weather and catastrophe risk by using short term climate predictions February 12, 2008
  pdf (254 K)   .ps.gz (214 K)

C. Hein, P. Imkeller, I. Pavlyukevitch,
Limit theorems for p-variations of solutions of SDEs driven by additive non Gaussian stable Levy noise, November 9, 2008
pdf (385 K)

C. Hein, P. Imkeller, I. Pavlyukevitch, November 15, 2008
Simple SDE dynamical models interpreting climate data and their meta-stability,  November 15, 2008
pdf (338 K)

P. Imkeller,
Malliavin's calculus and applications in stochastic control and finance, December 15, 2008
pdf (418 K)

S. Ankirchner, P. Imkeller;
Hedging with residual risk: a BSDE approach, March 18, 2009
pdf (240 K)

G. Reis, P. Imkeller,
Path regularity and explicit truncations order for BSDE with drivers of quadratic growth, March 22, 2009
pdf (317 K)

L. Delong, P. Imkeller,
Backward stochastic differential equations with time delayed generators - results and counterexamples, July 1, 2009
pdf (296 K)

P. Imkeller, A. Reveillac, A. Richter
Differentiability of quadratic BSDE generated by continous martingales and hedging in incomplete markets, July 6, 2009
pdf (304 K)

Z. Brezniak, B. Goldys, P. Imkeller, S. Peszat, E. Priola, J. Zabczyk
Time irregularity of generalized Ornstein-Uhlenbeck processes, October 22, 2009
pdf (176 K)

L. Delong, P. Imkeller
On Malliavin's differentiability of BSDE with time delayed generators driven bei Brownian motions and Poisson random mesures, November 17, 2009
pdf (344 K)

P. Imkeller, G. Dos Reis, J. Zhang
Results on numerics for FBSDE with drivers of quadratic growth, November 17, 2009
pdf (203 K)


Last modification: 17. 11. 2009,