Pith. sign in

REVIEW

Skew Brownian motion with dry friction: The Pugachev-Sveshnikov approach

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1705.10980 v3 pith:KNS2E4AP submitted 2017-05-31 math.PR cond-mat.stat-mechmath.AP

Sergey Berezin , Oleg Zayats This is my paper · ORCID
classification math.PRcond-mat.stat-mechmath.AP
keywords brownianprocessfrictionmotionapproachphysicspugachev-sveshnikovskew
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

The Caughey-Dieness process, also known as the Brownian motion with two valued drift, is used in theoretical physics as an advanced model of the Brownian particle velocity if the resistant force is assumed to be dry friction. This process also appears in many other fields, such as applied physics, mechanics, astrophysics, and pure mathematics. In the present paper we are concerned with a more general process, skew Brownian motion with dry friction. The probability distribution of the process itself and of its occupation time on the positive half line are studied. The approach based on the Pugachev-Sveshnikov equation is used.

Discussion (0). Continue with ORCID to comment.

Pith tools