XVIITH International Congress on Mathematical Physics by Arne Jensen

By Arne Jensen

The foreign Congress on Mathematical Physics is an important convention in its box that pulls a really vast spectrum of researchers. Held each 3 years, it offers an summary of modern advancements and achievements in mathematical physics. This quantity offers the plenary lectures and invited topical consultation lectures from the XVIIth ICMP, which used to be held in Aalborg, Denmark, August 2012. it is usually extra fabric from the Congress.

during this quantity, you'll discover survey lectures on orthogonal polynomials, random structures, details conception in physics, a number of points of quantum box thought and quantum mechanics, common relativity, and classical and quantum dynamical platforms.

The topical classes coated the subsequent components:

  • Dynamical platforms, classical and quantum
  • Equilibrium and non-equilibrium statistical mechanics
  • PDE and normal relativity
  • Stochastic types and chance
  • Operator algebras, precisely solvable types
  • Quantum mechanics and spectral idea
  • Quantum info and computation
  • Quantum many-body idea and condensed subject physics
  • Quantum box conception
  • String conception and quantum gravity

Readers are uncovered to cutting-edge perspectives on mathematical physics. numerous of the plenary lectures provide extensive surveys on contemporary actions, for instance, in orthogonal polynomials, PDE in mathematical physics, and knowledge concept in physics.

Readership: scholars, researchers and execs in mathematical physics, mathematicians, physicists, and theoretical chemists.

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5in icmp12-master P. DI FRANCESCO 39 of each component of this vector has been identified by Razumov and Stroganov (RS) as some particular correlation of the 6V model (and equivalently of ASMs), once reformulated as a model of fully-packed loops (FPL) on a n × n square lattice grid [34]. This conjecture was proved recently by Cantini and Sportiello [7] in a purely combinatorial way. In the next subsections, we will address the connection between refined enumeration of ASMs and DPPs (the Mills, Robbins and Rumsey (MRR) conjecture [33]).

1. Two-dimensional quantum gravity Two-dimensional quantum gravity (2DQG) is a theory describing the interactions of matter with the underlying space-time, in which both are quantized. Discrete models of 2DQG involve statistical matter models defined on statistical ensembles of discrete random surfaces, in the form of random tessellations. The Einstein action for these 2D random surfaces involves their two invariants, the area and the genus. The complete model will therefore combine the Boltzmann weights of the statistical matter model and of the underlying surface, in the form of parameters coupled to its area and its genus.

If |λ| < λ0 with λ0 suitably small, and under assumptions on d, ω, ϕ, Wojciech proves that the positional distribution indeed converges to a Gaussian with a diffusion coefficient D(λ), D(λ) = DL λ2 + o(λ2 ), where DL is computed from the Lindbladian. 5in icmp12-master PRIZE CEREMONIES 23 IUPAP YOUNG SCIENTIST PRIZE ALESSANDRO GIULIANI Citation: Outstanding contributions to the analysis of equilibrium properties of classical spin and quantum many-body systems, in particular the Hubbard model PRESENTATION In 2005 Alessandro received his PhD in Physics at Universit`a di Roma La Sapienza under the supervision of Giovanni Gallavotti and Vieri Mastropietro.

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