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Lattice (discrete subgroup)

Known as: Arithmetic lattice, Lattice, Tree lattice 
In Lie theory and related areas of mathematics, a lattice in a locally compact group is a discrete subgroup with the property that the quotient space… 
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Related topics

Related topics

4 relations
Biregular graphErgodic theoryLaurent polynomialRatner's theorems

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
Presentations for Quaternionic S-Unit Groups
We give an algorithm for presenting S-unit groups of an order in a definite rational quaternion algebra B such that for every p… 
2013
2013
Exotic structures arising from fake projective planes
We present examples of exotic structures on $$pP_\mathbb{C}^2 \# q\overline {P_\mathbb{C}^2 }$$ for some small p and q obtained… 
2011
2011
Quantitative spectral gap for thin groups of hyperbolic isometries
Let $\Lambda$ be a subgroup of an arithmetic lattice in SO(n+1,1). The quotient $\mathbb{H}^{n+1} / \Lambda$ has a natural family… 
2011
2011
Fuzzy Closed Ideals of B-Algebras
In this paper, we apply the concept of fuzzy set to ideals and closed ideals in B-algebras. The notion of a fuzzy closed ideal of… 
2011
2011
ON QUANTIC CONUCLEI IN ORTHOMODULAR LATTICES
In this paper we study the lattice of conuclei for orthomodular lattices. We show that under certain conditions we can get a… 
2009
2009
ON DISCRETE SUBGROUPS CONTAINING A LATTICE IN A HOROSPHERICAL SUBGROUP
We showed in [Oh] that for a simple real Lie group G with real rank at least 2, if a discrete subgroup Γ of G contains lattices… 
Highly Cited
2008
Highly Cited
2008
Option Pricing with Mean Reversion and Stochastic Volatility
Many underlying assets of option contracts, such as currencies, commodities, energy, temperature and even some stocks, exhibit… 
2004
2004
INTEGRALITY AND ARITHMETICITY OF CO-COMPACT LATTICE CORRESPONDING TO CERTAIN COMPLEX TWO-BALL QUOTIENTS OF PICARD NUMBER ONE ∗
The main purpose of this paper is to provide some criteria for the integrality and arithmeticity of a cocompact lattice… 
Highly Cited
2003
Highly Cited
2003
Entropy of Quantum Limits
Abstract: In this paper we show that any measure arising as a weak* limit of microlocal lifts of eigenfunctions of the Laplacian… 
1981
1981
THE THEORY OF TRANSPORT IN AMORPHOUS SEMICONDUCTORS
.- The theory of transport in disordered systems is approached using the Master equation point of view. Emphasis is laid on a… 
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