Unconditional Proof of the Boltzmann-Sinai Ergodic Hypothesis TeX Export

@article{citeulike:4741612, abstract = {We consider the system of \$N\$ (\$\ge2\$) elastically colliding hard balls of masses \$m\_1,...,m\_N\$ and radius \$r\$ on the flat unit torus \$\Bbb T^\nu\$, \$\nu\ge2\$. We prove the so called Boltzmann-Sinai Ergodic Hypothesis, i. e. the full hyperbolicity and ergodicity of such systems for every selection \$(m\_1,...,m\_N;r)\$ of the external geometric parameters. The present proof does not use the formerly developed, rather involved algebraic techniques, instead it employs exclusively dynamical methods and tools from geometric analysis.}, archivePrefix = {arXiv}, author = {Simanyi, Nandor}, citeulike-article-id = {4741612}, citeulike-linkout-0 = {http://arxiv.org/abs/0803.3112}, citeulike-linkout-1 = {http://arxiv.org/pdf/0803.3112}, day = {29}, eprint = {0803.3112}, keywords = {boltzmann-sinai, ergodic, hypothesis, of, proof, the, unconditional}, month = {May}, posted-at = {2009-06-04 08:02:04}, priority = {2}, title = {Unconditional Proof of the Boltzmann-Sinai Ergodic Hypothesis}, url = {http://arxiv.org/abs/0803.3112}, year = {2008} }

TY - JOUR ID - citeulike:4741612 L3 - citeulike-article-id:4741612 N2 - We consider the system of $N$ ($\ge2$) elastically colliding hard balls of masses $m_1,...,m_N$ and radius $r$ on the flat unit torus $\Bbb T^\nu$, $\nu\ge2$. We prove the so called Boltzmann-Sinai Ergodic Hypothesis, i. e. the full hyperbolicity and ergodicity of such systems for every selection $(m_1,...,m_N;r)$ of the external geometric parameters. The present proof does not use the formerly developed, rather involved algebraic techniques, instead it employs exclusively dynamical methods and tools from geometric analysis. TI - Unconditional Proof of the Boltzmann-Sinai Ergodic Hypothesis KW - boltzmann-sinai KW - ergodic KW - hypothesis KW - of KW - proof KW - the KW - unconditional AU - Simanyi, Nandor PY - 2008/May/29/ UR - http://arxiv.org/abs/0803.3112 ER -