Publication list for Bruce K. Driver
(also see Math
Reviews)
-
A. PRIMARY PUBLISHED OR CREATIVE WORK:
(A1) |
B. K. Driver:
“Convergence of the U(1)4
Lattice Gauge Theory to Its Continuum Limit,” (extract from thesis), Comm.
Math. Physics, 110 (1987), 479-501. |
(A2) |
B. K. Driver:
“Classification of Bundle Connection Pairs by Parallel Translations and
Lassos,” J. Func. Analysis,
83,
No. 1l (1989), 185-231. |
(A3) |
B. K. Driver:
“YM2: Continuum Expectations, Lattice Convergence, and Lassos,”
Comm. Math. Physics.,
123,
(1989), 575-616. |
(A4) |
B. K. Driver
and R. D. Driver: “Simplicity of Solutions of x'(t)= bx(t-1),”
J. of Math. Anal. & Appl.,
157,
no. 2 (1991), 591-608. |
(A5) |
B. K. Driver:
“Two dimensional Euclidean quantized Yang-Mills fields,” (G. J. Morrow and
W-S. Yang, eds.), Proc Conf. on
Probability
Models in Mathematical Physics,
Colorado Springs, 1990, World Scientific, N.J. (1991), 21-36. |
(A6) |
B. K. Driver
and M. Röckner: “Construction of diffusions on path and loop spaces of
compact Riemannian manifolds,” C.R.
Acad. of Sci. Paris, December
315,
Série I (1992), 603-608. |
(A7) |
B. K. Driver:
“A Cameron-Martin type quasi-invariance theorem for Brownian motion on a
compact Riemannian manifold,” J.
Funct. Anal.
110
(1992), 272-376. |
(A8) |
B. K. Driver
and T. Frankel: “On the growth of waves on manifolds,”
Journal of Mathematical Analysis
& Applications,
178
(1993), 143-155. |
(A9) |
B. K. Driver:
“A Cameron-Martin type quasi-invariance theorem for pinned Brownian motion
on a compact Riemannian manifold,”
Trans.
of Amer. Math. Soc.,
342
(1994), 375-395. |
(A10) |
B. K. Driver:
“The non-equivalence of Dirichlet forms on path spaces,” in
Stochastic analysis on infinite
dimensional spaces, (H. Kunita, and
H.-H. Kuo eds), Pitman Notes in Mathematics Series 310, Longman Scientific &
Technical, Essex England (1994), 75-88. |
(A11) |
B. K. Driver:
“Loop space, curvature, and quasi-invariance,” lecture notes from Centro
Vito Volterra for Lectures given Fall of 1992. |
(A12) |
B. K. Driver:
“Towards calculus and geometry on path spaces,” in “Stochastic Analysis,
Summer Institute on Stochastic Analysis,” July 11-30, 1993, Cornell
University (Eds. M. Cranston and M. Pinsky), Proceedings of Symposia in Pure
Mathematics, Vol. 57,
American Mathematical Society, Rhode Island, 1995, pp. 405-422. |
(A13) |
B. K. Driver:
“On the Kakutani-Ito-Segal-Gross and the Segal-Bargmann-Hall isomorphisms,”
J. of Funct. Anal.
133
(1995), 69-128. |
(A14) |
B. K. Driver
and Yaozhong Hu: “On the heat kernel logarithmic Sobolev inequalities,
Proceedings of the Fifth Greygynog Symposium, Stochastic Analysis and
Applications,” (I.M. Davies, A. Truman, and K.D. Elworthy Eds.), World
Scientific, New Jersey 1996, p. 189-200. |
(A15) |
B. K. Driver:
“A primer on Riemannian geometry and stochastic analysis on path spaces,”
F.I.M. series of the ETH (Zurich, Switzerland). |
(A16) |
B. K. Driver
and L. Gross: “Hilbert spaces of holomorphic functions on complex Lie
groups,” New trends in stochastic
analysis (Charigworth, 1994) (1997),
pp. 76-106. |
(A17) |
B. K. Driver
and T. Lohrenz: “Logarithmic Sobolev inequalities for pinned loop groups,”
J. of Funct. Anal.
140(2)
(1996), pp. 381-448. |
(A18) |
B. K. Driver:
“Integration by parts for heat kernel measures revisited,”
J. Math. Pures Appl. (9)
76(8)
(1997), pp. 703-737. |
(A19a) |
B. K. Driver:
“Integration by parts and quasi-invariance for heat kernel measures on loop
groups,” J. Funct. Anal.
149(2)
(1997), pp. 470-547. |
(A19b) |
B. K. Driver:
Correction to (A19a) published in J.
Funct. Anal. 155(1)
(1998), pp. 297-301. |
(A20) |
B. K. Driver:
“Stochastic analysis,” Bulletin of
the Amer. Math.Society 35 (1998),
pp. 99-104. |
(A21) |
B. K. Driver
and B. C. Hall: “Yang-Mills theory and the Segal-Bargmann transforms,”
Comm. Math. Phys.
201(2)
(1999), pp. 249-290. |
(A22) |
B. K. Driver:
“The Lie bracket of adapted vector fields on Wiener spaces,”
Appl. Math. Optim
39(2)
(1999), pp. 179-210. |
(A23) |
L. Andersson
and B. K. Driver:
“Finite dimensional approximations to Wiener measure and path integral
formulas on manifolds,” J. of
Functional Analysis 165 (1999), pp.
430-498. |
(A24) |
B. K. Driver
and B.C. Hall: The energy representation has no non-zero fixed vectors. In
Stochastic processes, physics and
geometry: new interplays, II
(Leipzig, 1999), pages 143-155. Amer. Math. Soc., Providence, RI, 2000. |
(A25) |
Shigeki Aida
and Bruce K. Driver:
Equivalence of heat kernel measure and pinned Wiener measure on loop
groups. C. R. Acad. Sci. Paris Sér.
I Math., 331(9):709-712, 2000. |
(A26) |
Bruce K.
Driver and Anton Thalmaier: Heat
equation derivative formulas for vector bundles.
J. Funct. Anal.,
183(1):42-108, 2001. |
(A27) |
Bruce K.
Driver and Vikram K. Srimurthy:
Absolute continuity of heat kernel measure with pinned Wiener measure on
loop groups. Ann. Probab.,
29(2):691-723, 2001. |
(A28) |
Bruce K. Driver:
Heat kernels measures and infinite dimensional analysis.
Heat kernels and analysis on manifolds,
graphs, and metric spaces (Paris,
2002), 101--141, Contemp. Math., 338,
Amer. Math. Soc., Providence, RI,
2003. |
(A29) |
Driver, Bruce K.: Analysis of
Wiener measure on path and loop groups.
Finite and infinite dimensional analysis in honor of Leonard Gross (New
Orleans, LA, 2001), 57--85, Contemp.
Math., 317, Amer. Math. Soc.,
Providence, RI, 2003. |
(A30) |
Driver, Bruce K.:
Curved Wiener space analysis.
Real and stochastic analysis,
43--198, Trends Math.,
Birkhäuser Boston, Boston, MA,
2004. |
(A31) |
Driver, Bruce K.;
Melcher, Tai: Hypoelliptic heat kernel inequalities on the Heisenberg group.
J. Funct. Anal.
221
(2005), no. 2, 340--365. |
(A32) |
Arnaudon, Marc;
Driver, Bruce K.: and Anton
Thalmaier. Gradient Estimates for Positive Harmonic Functions by
Stochastic Analysis. Accepted
by Stochastic Processes and their Applications, page 19 pages., 2006. |
(A33)
|
Driver, Bruce K.;
Gross, Leonard; and Saloff-Coste, Laurent: Holomorphic functions and
subelliptic heat kernels over Lie groups. Journal of the European
Mathematical Society, Volume 11 Issue 5 (2009), 941--978. |
(A34)
|
Cecil, Matthew; and Driver, Bruce K.: Heat kernel measure on loop
and path groups. Infin. Dimens. Anal. Quantum Probab. Relat. Top.
11 (2008), no. 2, 135--156. |
(A35)
|
Driver, Bruce K.;
and Gordina, Maria: Heat kernel analysis on infinite-dimensional
Heisenberg groups. J. Funct. Anal. 255 (2008), no. 9,
2395--2461. |
(A36)
|
Driver, Bruce K.;
Gross, Leonard; and Saloff-Coste, Laurent: Surjectivity of the Taylor
map for complex nilpotent Lie groups. Mathematical Proceedings of the
Cambridge Philosophical Society 146 (2009), no. 1, 177--195.
|
(A37)
|
Driver, Bruce K.;
and Gordina, Maria: Square integrable holomorphic functions on
infinite-dimensional Heisenberg type groups. Journal Probability
Theory and Related Fields, Published online: 1 April 2009.
0178-8051 (Print) 1432-2064 (Online), p. 1-48.
|
(A38)
|
Driver, Bruce K.;
and Gordina, Maria: Integrated Harnack
inequalities on Lie groups, Journal of Differential Geometry,
83 (2009) no. 3, 501--550. |
(A39)
|
Driver, Bruce K.;
Gross, Leonard; and Saloff-Coste,
Laurent: Growth of Taylor coefficients over complex homogeneous spaces.
To appear in the Tohoku Mathematical Journal, 62
(September, 2010). no. 3, 51 pages. |
B. Other Work:
(B1) |
B. K. Driver:
“Convergence of the U(1)4
Lattice Gauge Theory to Its Continuum Limit,”
Cornell University
(1986). |
THESIS |
C. Work in Progress:
|