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Moduli of Representations of Quivers
, 2008
"... An introduction to moduli spaces of representations of quivers is given, and results on their global geometric properties are surveyed. In particular, the geometric approach to the problem of classification of quiver representations is motivated, and the construction of moduli spaces is reviewed. T ..."
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An introduction to moduli spaces of representations of quivers is given, and results on their global geometric properties are surveyed. In particular, the geometric approach to the problem of classification of quiver representations is motivated, and the construction of moduli spaces is reviewed. Topological, arithmetic and algebraic methods for the study of moduli spaces are discussed.
Comparison of reactions for the production of 258,257 Pb( 51 V,xn) and 209 Bi( 50 Ti,xn)
"... Abstract Excitation functions for the 1n and 2n exit channels of the PACS numbers: 25.70. Gh, 27.90.+b, 23.60.+e ..."
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Abstract Excitation functions for the 1n and 2n exit channels of the PACS numbers: 25.70. Gh, 27.90.+b, 23.60.+e
PROOF OF A CONJECTURE ON THE SLIT PLANE PROBLEM
, 2004
"... Abstract. Let ai,j(n) denote the number of walks in n steps from (0, 0) to (i, j), with steps (±1, 0) and (0, ±1), never touching a point (−k,0) with k ≥ 0 after the starting point. Bousquet-Mélou and Schaeffer conjectured a closed form for the number a−i,i(2n) when i ≥ 1. In this paper, we prove th ..."
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Abstract. Let ai,j(n) denote the number of walks in n steps from (0, 0) to (i, j), with steps (±1, 0) and (0, ±1), never touching a point (−k,0) with k ≥ 0 after the starting point. Bousquet-Mélou and Schaeffer conjectured a closed form for the number a−i,i(2n) when i ≥ 1. In this paper, we prove their conjecture, and give a formula for a−i,i(2n) for i ≤ −1.