Question

Given a Markov process, are we able to construct another Markov process with the same transition semigroup but different inital law?

score 49 · Answer 1 · 2026-03-25 12:38:44

49

Views

Given a Markov process, are we able to construct another Markov process with the same transition semigroup but different inital law?

Published on 25 Mar 2026 - 12:38

score 41 · Answer 2 · 2026-03-25 12:38:44

41

Views

Is weak, uniformly bounded operator of semigroup also strong?

Published on 25 Mar 2026 - 12:38

score 118 · Answer 3 · 2026-03-25 12:40:01

118

Views

Contraction semigroup of nonlinear heat equations

Published on 25 Mar 2026 - 12:40

score 102 · Answer 4 · 2026-03-25 12:38:54

102

Views

Trotter-Kato approximation theorem for transition semigroups of Feller processes

Published on 25 Mar 2026 - 12:38

score 524 · Answer 5 · 2026-03-25 12:43:06

524

Views

A weakly continuous semigroup of operators on a Banach Space is Strongly Continuous

Published on 25 Mar 2026 - 12:43

score 54 · Answer 6 · 2026-03-25 12:38:55

54

Views

If $E^\ast$ is the one-point compactification of $E$, can we identify a contraction semigroup on $C_0(E)$ with a contraction semigroup on $C(E^\ast)$?

Published on 25 Mar 2026 - 12:38

score 93 · Answer 7 · 2026-03-25 12:41:38

93

Views

If $X$ is a Feller process, then $\sup_{x\in E}\text E\left[d(X_s,X_t)\wedge1\mid X_0=x\right]\xrightarrow{s-t\to0}\to0$

Published on 25 Mar 2026 - 12:41

score 131 · Answer 8 · 2026-03-25 12:41:38

131

Views

Conclude $X^n_t\to X_t$ weakly from knowing that $X^n_0\to X_0$ weakly and convergence of the corresponding generators

Published on 25 Mar 2026 - 12:41

score 58 · Answer 9 · 2026-03-25 12:42:44

58

Views

Hille-Yosida theorem for multi-valued dissipative linear operators

Published on 25 Mar 2026 - 12:42

score 85 · Answer 10 · 2026-05-10 15:26:28

85

Views

Show that the semigroup given by the product of two semigroups is generated by the product of the generators

Published on 10 May 2026 - 15:26

score 48 · Answer 11 · 2026-03-25 12:42:44

48

Views

Rewriting a 4th order linear pde

Published on 25 Mar 2026 - 12:42

score 70 · Answer 12 · 2026-03-25 12:44:15

70

Views

Characterization of the generator of a measurable contraction semigroup

Published on 25 Mar 2026 - 12:44

score 57 · Answer 13 · 2026-03-25 12:41:26

57

Views

If $T(t)$ is a semigroup and $x$ satisfies $\left\|T(h)x-x\right\|\to0$ as $h\to0$, are we able to conclude that $t\mapsto T(t)x$ is continous?

Published on 25 Mar 2026 - 12:41

score 57 · Answer 14 · 2026-03-25 12:41:38

57

Views

If $T(t)$ is a semigroup on $E$ and $B$ is a subspace of $E$ such that $\left\|T(h)x-x\right\|→0$ for all $x\in B$, is $T(t)$ locally bounded on $B$?

Published on 25 Mar 2026 - 12:41

score 32 · Answer 15 · 2026-03-25 12:41:26

32

Views

Can we show $\frac1h\int_t^{t+h}T(s)x\:{\rm d}s\xrightarrow{h\to0+}T(t)x$ for a measurable semigroup (with possibly discontinuous orbits)?

Published on 25 Mar 2026 - 12:41

List Question

Given a Markov process, are we able to construct another Markov process with the same transition semigroup but different inital law?

Is weak, uniformly bounded operator of semigroup also strong?

Contraction semigroup of nonlinear heat equations

Trotter-Kato approximation theorem for transition semigroups of Feller processes

A weakly continuous semigroup of operators on a Banach Space is Strongly Continuous

If $E^\ast$ is the one-point compactification of $E$, can we identify a contraction semigroup on $C_0(E)$ with a contraction semigroup on $C(E^\ast)$?

If $X$ is a Feller process, then $\sup_{x\in E}\text E\left[d(X_s,X_t)\wedge1\mid X_0=x\right]\xrightarrow{s-t\to0}\to0$

Conclude $X^n_t\to X_t$ weakly from knowing that $X^n_0\to X_0$ weakly and convergence of the corresponding generators

Hille-Yosida theorem for multi-valued dissipative linear operators

Show that the semigroup given by the product of two semigroups is generated by the product of the generators

Rewriting a 4th order linear pde

Characterization of the generator of a measurable contraction semigroup

If $T(t)$ is a semigroup and $x$ satisfies $\left\|T(h)x-x\right\|\to0$ as $h\to0$, are we able to conclude that $t\mapsto T(t)x$ is continous?

If $T(t)$ is a semigroup on $E$ and $B$ is a subspace of $E$ such that $\left\|T(h)x-x\right\|→0$ for all $x\in B$, is $T(t)$ locally bounded on $B$?

Can we show $\frac1h\int_t^{t+h}T(s)x\:{\rm d}s\xrightarrow{h\to0+}T(t)x$ for a measurable semigroup (with possibly discontinuous orbits)?

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