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Elementary Transversailty in the Schubert Calculus in any Characteristic
Characteristic - free schubert varieties cross data transversality theory algebraic geometry
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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
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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
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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
Fractional calculus probability
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2009/9/24
Fractional calculus in probability。
A functional calculus based on Feynman-Kac formula
A functional calculus Feynman-Kac formula
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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
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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
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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...
On q-deformed quantum stochastic calculus
q-deformed quantum stochastic calculus
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2009/9/21
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
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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.
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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...
THE CALCULUS OF CONSENT AND THE CONSTITUTION OF CAPITALISM
CALCULUS CONSTITUTION CAPITALISM
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2008/12/4
Introduction
The functioning of a market economic order, or capitalism, is not
discussed in The Calculus of Consent. The purpose of the public
choice classic by Buchanan and Tullock was to examine ...
THE CALCULUS：POSTSCRIPT AFTER 25 YEARS
CALCULUS POSTSCRIPT Constitutional
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2008/12/4
The Neglect of Constitutional
Theory and Reform
Before I arrived at the University ofVirginia to begin my postdoctoral
fellowship, I had had only the slightest of personal contacts
with Jim Buchan...
JUSTIFICATION OF THE COMPOUND REPUBLIC：THE CALCULUS IN RETROSPECT
utility-maximizing behavior political choice economist’s model
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2008/12/4
Elsewhere I have stated that the public choice perspective combines
two distinct elements: the extension of the economist’s model of
utility-maximizing behavior to political choice and the conceptua...