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Volume And Issue List
Tohoku Mathematical Journal, Second Series
- Vol.65(2013)
- Vol.64(2012)
- Vol.63(2011)
- Vol.62(2010)
- Vol.61(2009)
- Vol.60(2008)
- Vol.59(2007)
- Vol.58(2006)
- Vol.57(2005)
- Vol.56(2004)
- Vol.55(2003)
- Vol.54(2002)
- Vol.53(2001)
- Vol.52(2000)
- Vol.51(1999)
- Vol.50(1998)
- Vol.49(1997)
- Vol.48(1996)
- Vol.47(1995)
- Vol.46(1994)
- Vol.45(1993)
- Vol.44(1992)
- Vol.43(1991)
- Vol.42(1990)
- Vol.41(1989)
- Vol.40(1988)
- Vol.39(1987)
- Vol.38(1986)
- Vol.37(1985)
- Vol.36(1984)
- Vol.35(1983)
- Vol.34(1982)
- Vol.33(1981)
- Vol.32(1980)
- Vol.31(1979)
- Vol.30(1978)
- Vol.29(1977)
- Vol.28(1976)
- Vol.27(1975)
- Vol.26(1974)
- Vol.25(1973)
- Vol.24(1972)
- Vol.23(1971)
- Vol.22(1970)
- Vol.21(1969)
- Vol.20(1968)
- Vol.19(1967)
- Vol.18(1966)
- Vol.17(1965)
- Vol.16(1964)
- Vol.15(1963)
- Vol.14(1962)
- Vol.13(1961)
- Vol.12(1960)
- Vol.11(1959)
- Vol.10(1958)
- Vol.9(1957)
- Vol.8(1956)
- Vol.7(1955)
  - No.3 p.141-
  - No.1-2 p.1-
- Vol.6(1954)
  - No.2-3 p.9･･･
  - No.1 p.1-
- Vol.5(1953)
- Vol.4(1952)
- Vol.3(1951)
- Vol.2(1950 - 1951)
- Vol.1(1949 - 1950)

Predecessor

Tohoku Mathematical Journal, First Series

Tohoku Mathematical Journal, Second Series Vol. 65(2013) No. 4

LARGE DEVIATIONS FOR SYMMETRIC STABLE PROCESSES WITH FEYNMAN-KAC FUNCTIONALS AND ITS APPLICATION TO PINNED POLYMERS

YASUHITO NISHIMORI

Released: April 09, 2017

p.467-494

Let $\nu$ and $\mu$ be positive Radon measures on $\boldsymbol{R}^d$ in Green-tight Kato class associated with a symmetric $\alpha$-stable process $(X_t, P_x)$ on $\boldsymbol{R}^d$, and $A_t^{\nu}$ and $A_t^{\mu}$ the positive continuous additive functionals under the Revuz correspondence to $\nu$ and $\mu$. For a non-negative $\beta$, let $P_{x,t} ^{\beta \mu}$ be the law $X_t$ weighted by the Feynman-Kac functional $\exp(\beta A_t ^{\mu})$, i.e., $P_{x,t} ^{\mu} =(Z_{x,t} ^{\mu})^{-1}\exp(\beta A_t ^{\mu})P_x$, where $Z_{x, t} ^{\mu}$ is a normalizing constant. We show that $A_t ^{\nu} /t$ obeys the large deviation principle under $P_{x, t}^{\beta \mu}$. We apply it to a polymer model to identify the critical value $\beta _{\mathrm{cr}}$ such that the polymer is pinned under the law $P^{\beta \mu} _{x, t} $ if and only if $\beta$ is greater than $\beta_{\mathrm{cr}}$. The value $\beta _{\mathrm{cr}} $ is characterized by the rate function.

PROLONGATION OF HOLOMORPHIC VECTOR FIELDS ON A TUBE DOMAIN

SATORU SHIMIZU

Released: April 09, 2017

p.495-514

In this paper, we discuss some algebraic criterion on the completeness of holomorphic vector fields on a tube domain $T_\varOmega$. Our objects of consideration are polynomial vector fields on $T_\varOmega$. We give a method of determining the higher degree complete polynomial vector fields from the data on the lower degree complete polynomial vector fields, which we call prolongation. Furthermore, we give its applications to the holomorphic equivalence problem for tube domains.

K3 SURFACES WITH AN AUTOMORPHISM OF ORDER 11

MATTHIAS SCHÜTT

Released: April 09, 2017

p.515-522

This paper concerns K3 surfaces with automorphisms of order 11 in arbitrary characteristic. Specifically we study the wild case and prove that a generic such surface in characteristic 11 has Picard number 2. We also construct K3 surfaces with an automorphism of order 11 in every characteristic, and supersingular K3 surfaces whenever possible.

SECOND VARIATIONAL FORMULA AND THE STABILITY OF LEGENDRIAN MINIMAL SUBMANIFOLDS IN SASAKIAN MANIFOLDS

TORU KAJIGAYA

Released: April 09, 2017

p.523-543

In this paper, we investigate compact Legendrian submanifolds $L$ in Sasakian manifolds $M$, which have extremal volume under Legendrian deformations. We call such a submanifold L-minimal Legendrian submanifold. We derive the second variational formula for the volume of $L$ under Legendrian deformations in $M$. Applying this formula, we investigate the stability of L-minimal Legendrian curves in Sasakian space forms, and show the L-instability of L-minimal Legendrian submanifolds in $S^{2n+1}(1)$. Moreover, we give a construction of L-minimal Legendrian submanifolds in $\boldsymbol{R}^{2n+1}(-3)$.

A LOCAL SIGNATURE FOR FIBERED 4-MANIFOLDS WITH A FINITE GROUP ACTION

MASATOSHI SATO

Released: April 09, 2017

p.545-568

Let $p$ be a finite regular covering on a 2-sphere with at least three branch points. In this paper, we construct a local signature for the class of fibered 4-manifolds whose general fibers are isomorphic to the covering $p$.

ON THE HARNACK INEQUALITY FOR PARABOLIC MINIMIZERS IN METRIC MEASURE SPACES

NIKO MAROLA, MATHIAS MASSON

Released: April 09, 2017

p.569-589

In this note we consider problems related to parabolic partial differential equations in geodesic metric measure spaces, that are equipped with a doubling measure and a Poincaré inequality. We prove a location and scale invariant Harnack inequality for a minimizer of a variational problem related to a doubly non-linear parabolic equation involving the $p$-Laplacian. Moreover, we prove the sufficiency of the Grigor'yan–Saloff-Coste theorem for general $p>1$ in geodesic metric spaces. The approach used is strictly variational, and hence we are able to carry out the argument in the metric setting.

FREQUENCY OF $a$-POINTS FOR THE FIFTH AND THE THIRD PAINLEVÉ TRANSCENDENTS IN A SECTOR

SHUN SHIMOMURA

Released: April 09, 2017

p.591-605

For the fifth Painlevé transcendents in a sector, under the condition that the values taken along some curve tending to infinity are bounded away from 1 and another specified complex number, we present new upper estimates for the number of $a$-points including poles and for the growth order. As far as we are concerned with the known asymptotic solutions of the fifth Painlevé equation, this condition is easily checked, and our results are applicable to almost all of them. About concrete examples we discuss the frequency of $a$-points, the equi-distribution property and the growth order. Our method works on the third Painlevé transcendents as well, yielding an analogous result.

CORRIGENDUM TO “ON A CLASS OF FOLIATED NON-KÄHLERIAN COMPACT COMPLEX SURFACES”

MARCO BRUNELLA

Released: April 09, 2017

p.607-608

In this note we correct a mistake in author's paper Tohoku Mathematical Journal Vol. 63, No. 3 (2011), 441–460.

1 - 8 / 8 Articles.

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Volume And Issue List
Tohoku Mathematical Journal, Second Series

Predecessor

Tohoku Mathematical Journal, Second Series Vol. 65(2013) No. 4

LARGE DEVIATIONS FOR SYMMETRIC STABLE PROCESSES WITH FEYNMAN-KAC FUNCTIONALS AND ITS APPLICATION TO PINNED POLYMERS

PROLONGATION OF HOLOMORPHIC VECTOR FIELDS ON A TUBE DOMAIN

K3 SURFACES WITH AN AUTOMORPHISM OF ORDER 11

SECOND VARIATIONAL FORMULA AND THE STABILITY OF LEGENDRIAN MINIMAL SUBMANIFOLDS IN SASAKIAN MANIFOLDS

A LOCAL SIGNATURE FOR FIBERED 4-MANIFOLDS WITH A FINITE GROUP ACTION

ON THE HARNACK INEQUALITY FOR PARABOLIC MINIMIZERS IN METRIC MEASURE SPACES

FREQUENCY OF $a$-POINTS FOR THE FIFTH AND THE THIRD PAINLEVÉ TRANSCENDENTS IN A SECTOR

CORRIGENDUM TO “ON A CLASS OF FOLIATED NON-KÄHLERIAN COMPACT COMPLEX SURFACES”

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Volume And Issue List Tohoku Mathematical Journal, Second Series

Predecessor

Tohoku Mathematical Journal, Second Series Vol. 65(2013) No. 4

System Maintenance

Announcement From J-STAGE

Journal Tools

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Volume And Issue List
Tohoku Mathematical Journal, Second Series