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Explicit constructions:
"... 2. Group theory and graphs with large girth. 3. Expanders and superconcentrators. 4. Character sums and pseudorandom graphs. ..."
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2. Group theory and graphs with large girth. 3. Expanders and superconcentrators. 4. Character sums and pseudorandom graphs.
AN EXPLICIT CONSTRUCTION FOR THE HAPPEL FUNCTOR
"... Abstract. An easy explicit construction is given for a full and ..."
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Cited by 2 (2 self)
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Abstract. An easy explicit construction is given for a full and
Explicit constructions of Ramanujan complexes
 European J. of Combinatorics
"... Abstract. In this paper we present for every d ≥ 2 and every local field F of positive characteristic, explicit constructions of Ramanujan complexes which are quotients of the BruhatTits building Bd(F) associated with PGLd(F). 1. ..."
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Cited by 25 (8 self)
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Abstract. In this paper we present for every d ≥ 2 and every local field F of positive characteristic, explicit constructions of Ramanujan complexes which are quotients of the BruhatTits building Bd(F) associated with PGLd(F). 1.
Explicit Constructions in Discrete Valuations
"... In this paper we give an explicit construction of a system of parametric equations describing a discrete valuation over k((X 1 ; : : : ; Xn )). This amounts to finding a parameter and a eld of coefficients. We devote section 1 to finding an element of value 1, that is, the parameter. The field of c ..."
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In this paper we give an explicit construction of a system of parametric equations describing a discrete valuation over k((X 1 ; : : : ; Xn )). This amounts to finding a parameter and a eld of coefficients. We devote section 1 to finding an element of value 1, that is, the parameter. The field
Explicit Construction of Solutions of the . . .
, 1991
"... Given a solution of the KadomtsevPetviashvili equation we explicitly construct a solution of the modified KadomtsevPetviashvili equation related to one another by a generalized Miura transformation. The construction is modeled after a previous treatment of the modified Kortewegde Vries case. As an ..."
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Given a solution of the KadomtsevPetviashvili equation we explicitly construct a solution of the modified KadomtsevPetviashvili equation related to one another by a generalized Miura transformation. The construction is modeled after a previous treatment of the modified Kortewegde Vries case
The Complexity of Explicit Constructions
"... The existence of extremal combinatorial objects, such as Ramsey graphs and expanders, is often shown using the probabilistic method. It is folklore that pseudorandom generators can be used to obtain explicit constructions of these objects, if the test that the object is extremal can be implemented ..."
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Cited by 1 (0 self)
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The existence of extremal combinatorial objects, such as Ramsey graphs and expanders, is often shown using the probabilistic method. It is folklore that pseudorandom generators can be used to obtain explicit constructions of these objects, if the test that the object is extremal can be implemented
Explicit constructions in discrete valuations
, 2008
"... In this paper we give an explicit construction of a system of parametric equations describing a discrete valuation over k((X1,..., Xn)). This amounts to finding a parameter and a field of coefficients. We devote section 1 to finding an element of value 1, that is, the parameter. The field of coeffic ..."
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In this paper we give an explicit construction of a system of parametric equations describing a discrete valuation over k((X1,..., Xn)). This amounts to finding a parameter and a field of coefficients. We devote section 1 to finding an element of value 1, that is, the parameter. The field
Explicit Construction of Nilpotent Covariants in
"... Some aspects of correlation functions in N = 4 SYM are discussed. Using N = 4 harmonic superspace we study two and threepoint correlation functions which are of contact type and argue that these contact terms will not affect the nonrenormalisation theorem for such correlators at noncoincident poi ..."
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point function turns out to be significantly simpler than the original direct calculation. This calculation also provides an explicit construction of an N = 2 component of an N = 4 fivepoint nilpotent covariant that violates U(1) Y symmetry. 1 UMR 5108 associ'ee `a l'Universit'e de Savoie 1
Explicit Construction of Framelets
, 2001
"... We study tight wavelet frames associated with given refinable functions which are obtained with the unitary extension principles. All possible solutions of the corresponding matrix equations are found. It is proved that the problem of the extension may be always solved with two framelets. In partic ..."
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Cited by 30 (4 self)
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We study tight wavelet frames associated with given refinable functions which are obtained with the unitary extension principles. All possible solutions of the corresponding matrix equations are found. It is proved that the problem of the extension may be always solved with two framelets. In particular, if symbols of the refinable functions are polynomials (rational functions), then the corresponding framelets with polynomial (rational) symbols can be found.
An explicit construction of quantum expanders
, 2007
"... Quantum expanders are a natural generalization of classical expanders. These objects were introduced and studied by [1, 3, 4]. In this note we show how to construct explicit, constantdegree quantum expanders. The construction is essentially the classical ZigZag expander construction of [5], applie ..."
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Cited by 2 (0 self)
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Quantum expanders are a natural generalization of classical expanders. These objects were introduced and studied by [1, 3, 4]. In this note we show how to construct explicit, constantdegree quantum expanders. The construction is essentially the classical ZigZag expander construction of [5
Results 1  10
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