Algebraic topology and the quantization of fluctuating currents

作者：Chemyak Vladimir Y; Klein John R^*; Sinitsyn Nikolai A

来源：Advances in Mathematics, 2013, 244: 791-822.

DOI：10.1016/j.aim.2013.06.004

• Currents
• Graphs
• Trees
• Weak maps
• Chern classes
• Master equation
• Discriminant
• Kirchhoff%26apos
• s theorem

We give a new approach to the study of statistical mechanical systems: algebraic topology is used to investigate the statistical distributions of stochastic currents generated in graphs. In the adiabatic and low temperature limits we will demonstrate that quantization of current generation occurs.

• 出版日期2013-9-10