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Published in 2022 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2021.100
Abstract: Abstract We study the quasi-stationary behavior of the birth–death process with an entrance boundary at infinity. We give by the h-transform an alternative and simpler proof for the exponential convergence of conditioned distributions to a…
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Keywords:
stationary distribution;
boundary infinity;
entrance boundary;
birth death ... See more keywords
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Published in 2021 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ac1fd1
Abstract: We prove positive mass theorems for asymptotically hyperbolic and asymptotically locally hyperbolic Riemannian manifolds with black-hole-type boundaries. An interesting global invariant of asymptotically hyperbolic general relativistic initial data sets is the energy-momentum vector m ≡…
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Keywords:
conformal boundary;
boundary infinity;
asymptotically hyperbolic;
topology ... See more keywords