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Elementary Transversailty in the Schubert Calculus in any Characteristic
Characteristic - free schubert varieties cross data transversality theory algebraic geometry
2014/12/29
We give a characteristic-free proof that general codimension-1 Schubert varieties meet transversally in a Grassmannian and in some related varieties. Thus the corresponding intersection numbers are en...
Approximating a geometric fractional Brownian motion and related processes via discrete Wick calculus
discrete Wick calculus fractional Brownian motion weak convergence
2010/10/19
We approximate the solution of some linear systems of SDEs driven by a fractional Brownian motion $B^H$ with Hurst parameter $H\in(\frac{1}{2},1)$ in the Wick--It\^{o} sense, including a geometric fra...
Quantile calculus and censored regression
Differential equation estimating integral equation quantile equality fraction regression quantile
2010/10/14
Quantile regression has been advocated in survival analysis to assess evolving covariate effects. However, challenges arise when the censoring time is not always observed and may be covariate-depende...
Fractional calculus in probability。
A functional calculus based on Feynman-Kac formula
A functional calculus Feynman-Kac formula
2009/9/23
A functional calculus based on Feynman-Kac formula。
Malliavin calculus for stable processes on Heisenberg group
Malliavin calculus stable processes Heisenberg group
2009/9/23
Malliavin calculus for stable processes on Heisenberg group。
Time dependent Malliavin calculus on manifolds and application to nonlinear filtering
Time dependent Malliavin calculus application to nonlinear filtering
2009/9/22
In this paper, we prove, using Malliavin calculus, that
under a global Hormander condition the law of a Riemannian manifold
valued stochastic process, a solution of a stochastic differential
equati...
In this paper we investigate a quantum stochastic calculus
built of creation, annihilation and number of particles operators
which fulfill some deformed commutation relations.
Namely, we introduce ...
A CALCULUS ON LÉVY EXPONENTS AND SELFDECOMPOSABILITY ON BANACH SPACES
Banach space selfdecomposable class L multiply selfdecomposable s-selfdecomposable
2009/9/18
In infinite-dimensional Banach spaces there is no complete
characterization of the Lévy exponents of infinitely divisible probability
measures. Here we propose a calculus on Lévy exponents that is d...
Large deviations and stochastic calculus for large random matrices
large deviations random matrices non-commutative measure integration.
2009/5/18
Large random matrices appear in different fields of mathematics and physics such as combinatorics, probability theory, statistics, operator theory, number theory, quantum field theory, string theory e...