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Lectures on curved betagamma systems, pure spinors, and anomalies
"... The curved betagamma system is the chiral sector of a certain infinite radius limit of the nonlinear sigma model with complex target space. Naively it only depends on the complex structures on the worldsheet and the target space. It may suffer from the worldsheet and target space diffeomorphism an ..."
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Cited by 52 (3 self)
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The curved betagamma system is the chiral sector of a certain infinite radius limit of the nonlinear sigma model with complex target space. Naively it only depends on the complex structures on the worldsheet and the target space. It may suffer from the worldsheet and target space diffeomorphism
Superstrings and topological strings at large
 N”, J. Math. Phys
"... We embed the large N ChernSimons/topological string duality in ordinary superstrings. This corresponds to a large N duality between generalized gauge systems with N = 1 supersymmetry in 4 dimensions and superstrings propagating on noncompact CalabiYau manifolds with certain fluxes turned on. We a ..."
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Cited by 254 (27 self)
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also show that in a particular limit of the N = 1 gauge theory system, certain superpotential terms in the N = 1 system (including deformations if spacetime is noncommutative) are captured to all orders in 1/N by the amplitudes of noncritical bosonic strings propagating on a circle with self
Is physics in the infinite momentum frame independent of the compactification radius
 Nucl. Phys. B
, 1998
"... With the aim of clarifying the eleven dimensional content of Matrix theory, we examine the dependence of a theory in the infinite momentum frame (IMF) on the (purely spatial) longitudinal compactification radius R. First, by considering diagrams in scalar field theory, we argue that the generic scat ..."
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Cited by 3 (2 self)
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With the aim of clarifying the eleven dimensional content of Matrix theory, we examine the dependence of a theory in the infinite momentum frame (IMF) on the (purely spatial) longitudinal compactification radius R. First, by considering diagrams in scalar field theory, we argue that the generic
A Limit Formula for Joint Spectral Radius with pradius of Probability Distributions
"... In this paper we show a characterization of the joint spectral radius of a set of matrices as the limit of the pradius of an associated probability distribution when p tends to ∞. Allowing the set to have infinitely many matrices, the obtained formula extends the results in the literature. Based on ..."
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In this paper we show a characterization of the joint spectral radius of a set of matrices as the limit of the pradius of an associated probability distribution when p tends to ∞. Allowing the set to have infinitely many matrices, the obtained formula extends the results in the literature. Based
A Note on Certain Stability and Limiting Properties of νinfinitely divisible distributions
"... Abstract. The class of νinfinitely divisible (ID) distributions, which arise in connection with random summation, is a reach family including geometric infinitely divisible (GID) and geometric stable (GS) laws. We present two simple results connected with triangular arrays with random number of te ..."
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of terms and their limiting νID distributions as well as random sums with νID distributed terms. These generalize and unify certain results scattered in the literature that concern the special cases of GID and GS laws.
The limit of the spectral radius of nonnegative Toeplitz matrices
, 1998
"... A biinfinite sequence :::t \Gamma2 ; t \Gamma1 ; t 0 ; t 1 ; t 2 ; ::: of nonnegative numbers defines a sequence of nonnegative Toeplitz matrices T n = (t ik ); n = 1; :::;, where t ik = t k\Gammai ; i; k = 1; : : : ; n. We show that the limit of the spectral radius of T n , as n tends to infinity, ..."
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A biinfinite sequence :::t \Gamma2 ; t \Gamma1 ; t 0 ; t 1 ; t 2 ; ::: of nonnegative numbers defines a sequence of nonnegative Toeplitz matrices T n = (t ik ); n = 1; :::;, where t ik = t k\Gammai ; i; k = 1; : : : ; n. We show that the limit of the spectral radius of T n , as n tends to infinity
Dbranes and the noncommutative torus
 JHEP
, 1998
"... We show that in certain superstring compactifications, gauge theories on noncommutative tori will naturally appear as Dbrane worldvolume theories. This gives strong evidence that they are welldefined quantum theories. It also gives a physical derivation of the identification proposed by Connes, D ..."
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Cited by 151 (3 self)
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We show that in certain superstring compactifications, gauge theories on noncommutative tori will naturally appear as Dbrane worldvolume theories. This gives strong evidence that they are welldefined quantum theories. It also gives a physical derivation of the identification proposed by Connes
INFINITE LIMITS OF SELFORGANIZING NETWORKS
"... We present a new model for selforganizing networks such as the web graph, and analyze its limit behaviour. In the model, new nodes are introduced over time that copy the neighbourhood structure of existing nodes, and a certain number of random links may be added to the new node that can join to an ..."
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to any of the existing nodes. A function ρ parameterizes the number of random links. We study the model by considering the infinite limit graphs it generates. The limit graphs satisfy with high probability certain adjacency properties similar to but not as strong as the ones satisfied by the infinite
Fraïssé limits for infinite relational languages
, 2012
"... We study Fraïssé limits for certain Fraïssé classes over infinite relational languages that behave similarly to those for finite languages. These include the Fraïssé classes of finite simplicial complexes, finite hypergraphs, and Sperner families on finite sets. With a natural choice of measure we s ..."
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We study Fraïssé limits for certain Fraïssé classes over infinite relational languages that behave similarly to those for finite languages. These include the Fraïssé classes of finite simplicial complexes, finite hypergraphs, and Sperner families on finite sets. With a natural choice of measure we
Combinatorial Limitations of Averageradius List Decoding
"... We study certain combinatorial aspects of listdecoding, motivated by the exponential gap between the known upper bound (of O(1/γ)) and lower bound (of Ωp(log(1/γ))) for the listsize needed to list decode up to error fraction p with rate γ away from capacity, i.e., 1−h(p)−γ (here p ∈ (0, 1 2) and ..."
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Cited by 1 (0 self)
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We study certain combinatorial aspects of listdecoding, motivated by the exponential gap between the known upper bound (of O(1/γ)) and lower bound (of Ωp(log(1/γ))) for the listsize needed to list decode up to error fraction p with rate γ away from capacity, i.e., 1−h(p)−γ (here p ∈ (0, 1 2
Results 1  10
of
1,161