Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Trace formula for noise corrections to trace formulas.

G Palla1, G Vattay, A Voros

  • 1Department of Physics of Complex Systems, Eötvös University, Pázmány Péter sétany 1/A, H-1117 Budapest, Hungary.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 20, 2001
PubMed
Summary

We analyzed high-order corrections in a discrete Langevin equation with Gaussian noise. New insights reveal subdominant saddle points control asymptotic behavior, enabling a trace formula for noise corrections.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Anti-goat antibodies as a rare cause of high gonadotropin levels during menopausal transition.

Gynecological endocrinology : the official journal of the International Society of Gynecological Endocrinology·2020
Same author

Comparison of PCOS phenotypes in adolescent and young adult Mediterranean women with possible PCOS.

Journal of endocrinological investigation·2020
Same author

Perimenopause, body fat, metabolism and menopausal symptoms in relation to serum markers of adiposity, inflammation and digestive metabolism.

Journal of endocrinological investigation·2020
Same author

Is axillary lymph node dissection necessary for positive preoperative aspiration cytology lymph node results?

European journal of surgical oncology : the journal of the European Society of Surgical Oncology and the British Association of Surgical Oncology·2019
Same author

Cranberry, D-mannose and anti-inflammatory agents prevent lower urinary tract symptoms in women undergoing prolapse surgery.

Climacteric : the journal of the International Menopause Society·2019
Same author

Tailored hormonal approach in women with premature ovarian insufficiency.

Climacteric : the journal of the International Menopause Society·2019

Area of Science:

  • Statistical physics
  • Dynamical systems

Background:

  • Discrete Langevin equations model systems with noise.
  • Classical dynamics can be strongly hyperbolic.
  • Perturbative expansions are common but may miss key behaviors.

Purpose of the Study:

  • Investigate high-order corrections to the evolution operator's trace.
  • Identify factors controlling asymptotic behavior.
  • Develop a trace formula for noise corrections.

Main Methods:

  • Utilized an integral representation of the evolution operator.
  • Analyzed the trace of the evolution operator L(n).
  • Examined asymptotic behavior and saddle points.

Main Results:

Related Experiment Videos

  • Discovered subdominant saddle points significantly influence asymptotic behavior.
  • These points were previously neglected in perturbative expansions.
  • Derived a trace formula to account for high-order noise corrections.

    • Conclusions:

    • Subdominant saddle points are crucial for understanding discrete Langevin dynamics.
    • The derived trace formula provides a more accurate description of noise effects.
    • This work advances the analysis of stochastic systems.