Question

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

score 48 · Answer 1 · 2026-03-23 14:41:07

48

Views

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

Published on 23 Mar 2026 - 14:41

score 40 · Answer 2 · 2026-03-22 10:02:47

40

Views

Is weak, uniformly bounded operator of semigroup also strong?

Published on 22 Mar 2026 - 10:02

score 117 · Answer 3 · 2026-03-21 21:00:03

117

Views

Contraction semigroup of nonlinear heat equations

Published on 21 Mar 2026 - 21:00

score 101 · Answer 4 · 2026-03-21 23:25:57

101

Views

Trotter-Kato approximation theorem for transition semigroups of Feller processes

Published on 21 Mar 2026 - 23:25

score 523 · Answer 5 · 2026-03-21 16:37:58

523

Views

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

Published on 21 Mar 2026 - 16:37

score 53 · Answer 6 · 2026-03-22 10:07:07

53

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 22 Mar 2026 - 10:07

score 92 · Answer 7 · 2026-03-22 03:30:09

92

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 22 Mar 2026 - 3:30

score 130 · Answer 8 · 2026-03-22 15:48:53

130

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 22 Mar 2026 - 15:48

score 57 · Answer 9 · 2026-03-22 11:24:43

57

Views

Hille-Yosida theorem for multi-valued dissipative linear operators

Published on 22 Mar 2026 - 11:24

score 82 · Answer 10 · 2026-03-25 07:45:49

82

Views

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

Published on 25 Mar 2026 - 7:45

score 47 · Answer 11 · 2026-03-22 13:14:57

47

Views

Rewriting a 4th order linear pde

Published on 22 Mar 2026 - 13:14

score 69 · Answer 12 · 2026-03-21 23:42:52

69

Views

Characterization of the generator of a measurable contraction semigroup

Published on 21 Mar 2026 - 23:42

score 56 · Answer 13 · 2026-03-22 01:21:26

56

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 22 Mar 2026 - 1:21

score 56 · Answer 14 · 2026-03-22 14:00:46

56

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 22 Mar 2026 - 14:00

score 31 · Answer 15 · 2026-03-21 19:53:17

31

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 21 Mar 2026 - 19:53

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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