Fermionic stochastic differential equations and the index of Fredholm operators |
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| Authors: | David Applebaum |
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| Affiliation: | (1) Department of Mathematics, Statistics and Operational Research, The Nottingham Trent University, Burton Street, NG1 4BU Nottingham, England |
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| Abstract: | The index of a Fredholm operator associated to a -summable Fredholm module is expressed in terms of the vacuum expectation value of a unitary operator-valued stochastic process which satisfies a stochastic differential equation with unbounded coefficients driven by fermion noise. |
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| Keywords: | 81S25 47A53 81Q60 |
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