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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets II
无限维 凸紧集 混合体积
2023/11/6
Using the results presented in the previous lecture, namely the generalization of the Tsirelson's theorem [2] to mixed volumes, we calculate the mixed volume of the closed convex hulls of the two orth...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets I
无限维 凸紧集 混合体积
2023/11/6
Let K be a convex compact subset of a separable Hilbert space H. One of the most important geometric characteristics of K is its intrinsic volumes. In the finitedimensionalcase (K ? R^d), the intrinsi...
On Noncommutative Cryptography and homomorphism of stable cubical multivariate transformation groups of infinite dimensional affine spaces
Multivariate Cryptography stable transformation groups and semigroups decomposition problem of nonlinear multivariate map into given generators
2019/6/3
Noncommutative cryptography is based on applications of algebraic structures like noncommutative groups, semigroups and non-commutative rings. Its inter-section with Multivariate cryptography contains...
Constructing Infinite Families of Low Differential Uniformity $(n,m)$-Functions with $m>n/2$
APN function Differential Uniformity Nyberg's bound
2018/11/2
Little theoretical work has been done on (n,m)(n,m)-functions when n2nn2in Feistel ciphers, and actually play an important role in several block cipher...
In this paper, two concepts of completing an infinite number of tasks are considered. After discussing supertasks, equisupertasks are introduced. I suggest that equisupertasks are logically possible.
A Consistent Set of Infinite-Order Probabilities
model higher-order probability infinite regress
2016/6/12
Some philosophers have claimed that it is meaningless or paradoxical to consider the probability of a probability. Others have however argued that second-order probabilities do not pose any particular...
Infinite Idealizations
approximation idealization levels phase transition reduction reversible process statistical thermodynamics
2016/5/30
Approximations of arbitrarily large but finite systems are often mistaken for infinite idealizations in statistical and thermal physics. The problem is illustrated by thermodynamically reversible proc...
Some sufficient conditions for infinite collisions of simple random walks on a wedge comb
wedge comb simple random walk infinite collision property local time
2016/1/19
In this paper, we give some sufficient conditions for the infinite collisions of independent simple random walks on a wedge comb with profile {f(n),n ∈ Z}.One interesting result is that two independen...
ANOMALOUS CURRENT IN PERIODIC LORENTZ GASES WITH INFINITE HORIZON
PERIODIC LORENTZ GASES INFINITE HORIZON
2015/9/29
We study electrical current in two-dimensional periodic Lorentz gas in the presence of a weak homogeneous etric field.When the horizon is finite, i.e. the free flights between
colli...
ABELIAN VARIETIES OVER LARGE ALGEBRAIC FIELDS WITH INFINITE TORSION
ABELIAN VARIETIES OVER LARGE ALGEBRAIC FIELDS INFINITE TORSION
2015/8/26
Let A be a non-zero abelian variety defined over a number field K and let K be a fixed algebraic closure of K. For each element σ of the absolute Galois group Gal(K/K), let K(σ) be the fixed field in ...
Connections between semi-infinite and semidefinite programming
Optimization semi-infinite programming applications systems controls signal processing computational geometry and statistics
2015/8/11
Some interesting semi-infinite optimization problems can be reduced to semidefinite optimization problems, and hence solved efficiently using recent interior-point methods. In this paper we discuss se...
A NOTE ON PAYMENTS IN THE LAB FOR INFINITE HORIZON DYNAMIC GAMES WITH DISCOUNTING
Payment in experiments Experimental economics
2015/7/15
We also establish that a simple payment scheme, paying participants for the last (randomly occurring)
round, robustly implements the predicted outcomes for any infinite horizon dynamic game wit...
Connections Between Semi-Infinite and Semidefinite Programming
Connections Between Semi-Infinite Semidefinite Programming
2015/7/10
Some interesting semi-infinite optimization problems can be reduced to semidefinite optimization problems, and hence solved efficiently using recent interior-point methods. In this paper we discuss se...
Rare-Event Simulation for Infinite Server Queues
Rare-Event Simulation Infinite Server Queues
2015/7/8
We discuss rare-event simulation methodology for computing tail probabilities for infinite-server queues. Our theoretical discussion also offers some new simulation insights into the change-of-measure...
The Infinite Tree
The Infinite Tree
2015/6/12
Historically, unsupervised learning techniques have lacked a principled technique for selecting the number of unseen components. Research into non-parametric priors, such as the Dirichlet process, has...