Surveys in Stochastic Processes
Jochen Blath, Peter Imkeller, Sylvie Rœlly
European Mathematical Society, 2011 - Mathematics - 248 pages
The 33rd Bernoulli Society Conference on Stochastic Processes and Their Applications was held in Berlin from July 27 to July 31, 2009. It brought together more than 600 researchers from 49 countries to discuss recent progress in the mathematical research related to stochastic processes, with applications ranging from biology to statistical mechanics, finance and climatology. This book collects survey articles highlighting new trends and focal points in the area written by plenary speakers of the conference, all of them outstanding international experts. A particular aim of this collection is to inspire young scientists to pursue research goals in the wide range of fields represented in this volume.
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a review with news on option pricing and statistical inference
Some properties of quasistationary distributions for ﬁnite Markov chains
From exploration paths to mass excursions variations on a theme of
Malliavin calculus and Steins method
Merging and stability for time inhomogeneous ﬁnite Markov chains
Some mathematical aspects of market impact modeling
A brief survey
by Masayoshi Takeda
Some recent progress on functional inequalities and applications
Appl assume asymptotic Berlin bounded branching process Brownian motion BSDEs cadlag COGARCH constant continuous convergence deﬁned denote deterministic Dirichlet form discrete distribution equation ergodicity example excursion measure exists exponential Feller branching diffusion ﬁeld ﬁnancial ﬁnite ﬁrst ﬁxed Gaussian given Hence Heston model implied volatilities implies inequality inﬁnite irreducible jump LÚvy measure LÚvy process limit theorem Maller Malliavin calculus market impact model Markov chains Markov kernels Markov process martingale Math merging normal approximation obtain optimal strategy option pricing parabolic Anderson model parameter Poisson potential price process Probab probability measure proof Proposition random variables random walk Ray-Knight reﬂected relative-sup resilience function result satisﬁes Schied Section self-avoiding walk semigroups sequence Snell envelope solution space Stein’s method stochastic matrices Stochastic Process stochastic volatility strictly positive deﬁnite sufﬁcient switching problem symmetric Theorem 4.1 theory total variation trading tree variance volatility