554 citations
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14 papers · 1 filter
On the best constants in noncommutative Khintchine-type inequalities
Uffe Haagerup, Magdalena Musat
We obtain new proofs with improved constants of the Khintchine-type inequality with matrix coefficients in two cases. The first case is the Pisier and Lust-Piquard noncommutative K…
The Hydrodynamic Interaction in Polymer Solutions Simulated with Dissipative Particle Dynamics
W. Jiang, J. Huang, Y. Wang +1
We analyzed extensively the dynamics of polymer chains in solutions simulated with dissipative particle dynamics (DPD), with a special focus on the potential influence of a low Sch…
Pressure Driven Flow of Polymer Solutions in Nanoscale Slit Pores
J. A. Millan, W. Jiang, M. Laradji +1
Polymer solutions subject to pressure driven flow and in nanoscale slit pores are systematically investigated using the dissipative particle dynamics approach. We investigated the…
Eigenvalues and forbidden subgraphs I
Vladimir Nikiforov
We present sharp inequalities relating the number of vertices, edges, and triangles of a graph to the smallest eigenvalue of its adjacency matrix and the largest eigenvalue of its…
Linear combinations of graph eigenvalues
Vladimir Nikiforov
Let F(G) be a fixed linear combination of the k extremal eigenvalues of a graph G and of its complement. The problem of finding max{F(G):v(G)=n} generalizes a number of problems ra…
Percolation on random Johnson-Mehl tessellations and related models
Bela Bollobas, Oliver Riordan
We make use of the recent proof that the critical probability for percolation on random Voronoi tessellations is 1/2 to prove the corresponding result for random Johnson-Mehl tesse…