Moderate Deviations for the Range of Planar Random Walks PDF Download
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Author: Richard F. Bass
Publisher: American Mathematical Soc.
ISBN: 0821842870
Category : Mathematics
Languages : en
Pages : 98
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Book Description
Given a symmetric random walk in ${\mathbb Z}^2$ with finite second moments, let $R_n$ be the range of the random walk up to time $n$. The authors study moderate deviations for $R_n -{\mathbb E}R_n$ and ${\mathbb E}R_n -R_n$. They also derive the corresponding laws of the iterated logarithm.
Author: Richard F. Bass
Publisher: American Mathematical Soc.
ISBN: 0821842870
Category : Mathematics
Languages : en
Pages : 98
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Book Description
Given a symmetric random walk in ${\mathbb Z}^2$ with finite second moments, let $R_n$ be the range of the random walk up to time $n$. The authors study moderate deviations for $R_n -{\mathbb E}R_n$ and ${\mathbb E}R_n -R_n$. They also derive the corresponding laws of the iterated logarithm.
Author: Richard F. Bass
Publisher:
ISBN: 9781470405359
Category : Deviation
Languages : en
Pages : 82
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Book Description
Author: Xia Chen
Publisher: American Mathematical Soc.
ISBN: 0821848208
Category : Mathematics
Languages : en
Pages : 346
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Book Description
Involves important and non-trivial results in contemporary probability theory motivated by polymer models, as well as other topics of importance in physics and chemistry.
Author: Richard F. Bass
Publisher: American Mathematical Soc.
ISBN: 0821866702
Category : Mathematics
Languages : en
Pages : 101
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Book Description
Author: Zeng Lian
Publisher: American Mathematical Soc.
ISBN: 0821846566
Category : Mathematics
Languages : en
Pages : 119
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Book Description
The authors study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random partial differential equations. The authors prove a multiplicative ergodic theorem and then use this theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random invariant sets.
Author: Volkmar Liebscher
Publisher: American Mathematical Soc.
ISBN: 0821843184
Category : Mathematics
Languages : en
Pages : 124
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Book Description
In a series of papers Tsirelson constructed from measure types of random sets or (generalised) random processes a new range of examples for continuous tensor product systems of Hilbert spaces introduced by Arveson for classifying $E_0$-semigroups upto cocycle conjugacy. This paper starts from establishing the converse. So the author connects each continuous tensor product system of Hilbert spaces with measure types of distributions of random (closed) sets in $[0,1]$ or $\mathbb R_+$. These measure types are stationary and factorise over disjoint intervals. In a special case of this construction, the corresponding measure type is an invariant of the product system. This shows, completing in a more systematic way the Tsirelson examples, that the classification scheme for product systems into types $\mathrm{I}_n$, $\mathrm{II}_n$ and $\mathrm{III}$ is not complete. Moreover, based on a detailed study of this kind of measure types, the author constructs for each stationary factorising measure type a continuous tensor product system of Hilbert spaces such that this measure type arises as the before mentioned invariant.
Author: Istvan Berkes
Publisher: American Mathematical Soc.
ISBN: 0821843249
Category : Mathematics
Languages : en
Pages : 88
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Book Description
Presents a general study of the convergence problem and intends to prove several fresh results and improve a number of old results in the field. This title studies the case when the nk are random and investigates the discrepancy the sequence (nkx) mod 1.
Author: Thomas Lam
Publisher: American Mathematical Soc.
ISBN: 0821846582
Category : Mathematics
Languages : en
Pages : 103
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Book Description
The authors study combinatorial aspects of the Schubert calculus of the affine Grassmannian ${\rm Gr}$ associated with $SL(n,\mathbb{C})$.Their main results are: Pieri rules for the Schubert bases of $H^*({\rm Gr})$ and $H_*({\rm Gr})$, which expresses the product of a special Schubert class and an arbitrary Schubert class in terms of Schubert classes. A new combinatorial definition for $k$-Schur functions, which represent the Schubert basis of $H_*({\rm Gr})$. A combinatorial interpretation of the pairing $H^*({\rm Gr})\times H_*({\rm Gr}) \rightarrow\mathbb Z$ induced by the cap product.
Author: Drew Armstrong
Publisher: American Mathematical Soc.
ISBN: 0821844903
Category : Mathematics
Languages : en
Pages : 176
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Book Description
This memoir is a refinement of the author's PhD thesis -- written at Cornell University (2006). It is primarily a desription of new research but also includes a substantial amount of background material. At the heart of the memoir the author introduces and studies a poset $NC^{(k)}(W)$ for each finite Coxeter group $W$ and each positive integer $k$. When $k=1$, his definition coincides with the generalized noncrossing partitions introduced by Brady and Watt in $K(\pi, 1)$'s for Artin groups of finite type and Bessis in The dual braid monoid. When $W$ is the symmetric group, the author obtains the poset of classical $k$-divisible noncrossing partitions, first studied by Edelman in Chain enumeration and non-crossing partitions.
Author: Kang-Tae Kim
Publisher: American Mathematical Soc.
ISBN: 0821849654
Category : Mathematics
Languages : en
Pages : 126
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Book Description
"Volume 209, number 984 (third of 5 numbers)."
