(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.