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19942026
most citedGerms of arcs on singular algebraic varieties and motivic integration

209 citations

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math.DS2022

Emergence of quantum dynamics from chaos: The case of prequantum cat maps

Javier Echevarría Cuesta

Faure and Tsujii recently proposed a new quantization theory for symplectic Anosov diffeomorphisms. It combines prequantization with the study of the Pollicott--Ruelle resonances o…

math.DS2022★ 1 cited

Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus

Giovanni Forni, William Goldman, Sean Lawton +1

Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic elem…