Quantum natural time QLE(γ², η) is constructed for a new parameter range, shown to have three phases, stationary unexplored surfaces, and quantum disk cut-outs.
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Establishes upper and lower heat kernel bounds for √(8/3)-Liouville Brownian motion that are sharp up to polylog factors in the exponential, expressed in terms of the √(8/3)-LQG metric.
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Quantum Loewner evolution in quantum natural time: phases and Markov properties
Quantum natural time QLE(γ², η) is constructed for a new parameter range, shown to have three phases, stationary unexplored surfaces, and quantum disk cut-outs.
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Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion
Establishes upper and lower heat kernel bounds for √(8/3)-Liouville Brownian motion that are sharp up to polylog factors in the exponential, expressed in terms of the √(8/3)-LQG metric.