PMP. K. Mitter
P. K. Mitter
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
P. K. Mitter has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Benedetto Scoppola
Dipartimento di Matematica Universitá "La Sapienza" di Roma Piazzale A Moro 2 00185 Roma Italy
2 shared publications - David C. Brydges
University of British Columbia
2 shared publications David C. Brydges
The University of British Columbia
1 shared publicationG. Guadagni
University of Virginia
1 shared publication
Latest Publications
- 1 April 2004
- Published by Springer Nature in Journal of Statistical Physics
- Vol. 115 (1-2) , 415-449
Finite Range Decomposition of Gaussian Processes
- 1 April 2004
- Published by Springer Nature in Journal of Statistical Physics
- Vol. 115 (1-2) , 415-449
Finite Range Decomposition of Gaussian Processes
- 1 September 2003
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 240 (1-2) , 281-327
Critical (?4)3,?
- 1 September 2003
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 240 (1-2) , 281-327
Critical (?4)3,?
- Open Access
CRITICAL (Phi^{4}_{3,ε})
The Euclidean $(\phi^{4})_{3,\epsilon$ model in $R^3$ corresponds to a perturbation by a $\phi^4$ interaction of a Gaussian measure on scalar fields with a covariance depending on a real parameter $\epsilon$ in the range $0\le \epsilon \le 1$. For $\epsilon =1$ one recovers the covariance of a massless scalar field in $R^3$. For $\epsilon =0$ $\phi^{4}$ is a marginal interaction. For $0\le \epsilon < 1$ the covariance continues to be Osterwalder-Schrader and pointwise positive. After introducing cutoffs we prove that for $\epsilon > 0$, sufficiently small, there exists a non-gaussian fixed point (with one unstable direction) of the Renormalization Group iterations. These iterations converge to the fixed point on its stable (critical) manifold which is constructed.Open AccessCRITICAL (Phi^{4}_{3,ε})
The Euclidean $(\phi^{4})_{3,\epsilon$ model in $R^3$ corresponds to a perturbation by a $\phi^4$ interaction of a Gaussian measure on scalar fields with a covariance depending on a real parameter $\epsilon$ in the range $0\le \epsilon \le 1$. For $\epsilon =1$ one recovers the covariance of a massless scalar field in $R^3$. For $\epsilon =0$ $\phi^{4}$ is a marginal interaction. For $0\le \epsilon < 1$ the covariance continues to be Osterwalder-Schrader and pointwise positive. After introducing cutoffs we prove that for $\epsilon > 0$, sufficiently small, there exists a non-gaussian fixed point (with one unstable direction) of the Renormalization Group iterations. These iterations converge to the fixed point on its stable (critical) manifold which is constructed.