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An alternative stochastic proof for the Atiyah-Singer index theorem
An alternative stochastic proof Atiyah-Singer index theorem
2018/4/19
According toWatanabe [6], by generalized Wiener functional we could give a simple stochastic proof of the index theorem for twisted Dirac operator (the Atiyah-Singer index theorem) on Clifford module.
An Alternative Approach to Generalised BV and the Application to Expanding Interval Maps
Generalised bounded variation transfer operator expanding map spectral gap
2012/6/21
We introduce a family of Banach spaces of measures, each containing the set of measures with density of bounded variation. These spaces are suitable for the study of weighted transfer operators of pie...
The Mikheev identity in right Hom-alternative algebras
Right Hom-alternative algebra Mikheev identity Rings and Algebras
2012/5/9
It is shown that in every multiplicative right Hom-alternative algebra, a Hom-type generalization of the Mikheev identity holds. It is then inferred that a multiplicative right Hom-alternative algebra...
Heavy tailed priors: an alternative to non-informative priors in the estimation of proportions on small areas
Survey Sampling Exponential Family Objective Robust Priors Small Areas Estimation
2011/10/8
Abstract: We explore the Cauchy and a new heavy tailed (Fuquene, Perez and Pericchi (2011)) priors to estimate proportions on small areas. Hierarchical models and the Binomial likelihood in the expone...
Alternative construction of the closed form of the Green's function for the wavized Maxwell fish-eye problem
Maxwell’s fish-eye problem Green’s function scalar wave optics gradient-index (GRIN) optics
2011/8/31
Abstract: In the recent paper [J.\ Phys.\ A 44 (2011) 065203], we have arrived at the closed-form expression for the Green's function for the partial differential operator describing propagation of a ...
The standard formulation of gauge theories results from the Lagrangian (functional integral) quantization of classical gauge theories. A more in-trinsic qunantum theoretical access in the spirit of Wi...
An Alternative Presentation of the Symmetric-Simplicial Category
Alternative Presentation Symmetric-Simplicial Category
2011/1/19
t0, 1, . . . nuto include all functions between the same sets. Marco Grandis [Gra01a] has given a presentation of Fin using the standard generators di and si of Ord as well as the adjacent transpositi...
Alternative method for choosing ridge parameter for regression
Ridge regression Ridge parameter Multicollinearity
2010/9/20
The parameter estimation method based on minimum residual sum of squares is unsatisfactory in the presence of multicollinearity. Hoerl and Kennard [1] introduced alternative method called ridge regres...
EOQ problem well-posedness: an alternative approach establishing sufficient conditions
Inventory Cost Optimization Buy Planning
2010/9/25
An existence-uniqueness theorem is proved about a minimum cost order for a class of inventory MAB models, leading to a sufficient conditions. They consist of doing a check of some improper integrals, ...
Alternative polarizations of Borel fixed ideals
Alternative polarizations Borel fixed ideals
2010/11/24
Let $I$ be a monomial ideal of a polynomial ring $S$. "Polarization" is a classical technique constructing a squarefree monomial ideal $pol(I) \subset \tilde{S}$ which has (for example) the same ZZ-g...
About the proof of the Fredholm Alternative theorems
the Fredholm Alternative theorems math
2010/11/23
In this short paper we review and extract some features of the Fredholm Alternative problem .
Eisenstein Series, Alternative Modular Bases and Approximations of $1/\pi$
Eisenstein Series Alternative Modular Bases
2010/11/22
In this article using the theory of Eisenstein series, we give rise to the complete evaluation of two Gauss hypergeometric functions. Moreover we evaluate the modulus of each of these functions and t...
Alternative twisted tensor products and Cayley algebras
twisted tensor products Cayley algebras
2010/11/15
We introduce what we call "alternative twisted tensor products" for not necessarily associative algebras, as a common generalization of several different constructions: the Cayley-Dickson process, th...
In this expository note, we present a simple proof of the Fredholm Alternative for compact operators that are norm limits of finite rank operators. We also prove a Fredholm Alternative for pseudodiffe...
Opinion dynamics with confidence threshold: an alternative to the Axelrod model
stochastic processes Opinion dynamics homophily
2010/4/6
The voter model and the Axelrod model are two of the main stochastic processes that describe the spread of opinions on networks. The former includes social influence, the tendency of individuals to be...