A generalized asymmetric exclusion process with $$U_q(\mathfrak {sl}_2)$$ stochastic duality
A generalized asymmetric exclusion process with $$U_q(\mathfrak {sl}_2)$$ stochastic duality
Abstract We study a new process, which we call ASEP( q , j ), where particles move asymmetrically on a one-dimensional integer lattice with a bias determined by $$q\in (0,1)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>q</mml:mi> <mml:mo>∈</mml:mo> <mml:mo>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> and where at most $$2j\in \mathbb {N}$$ <mml:math …