Index (χn)n≥0, Haar basis 29 (φn)n≥0, Schauder functions on [0, 1] 29 action functional, 9 albedo, 2 Brownian motion, 28 C([0, T ], Rd), Rd-valued continuous functions on [0, T ], 49 C∞(R, 0 R), infinitely differntiable real valued functions on R vanishing at ±∞ 92 C∞(G, c R), real valued infinitely smooth functions of compact support contained in an open set G ⊂ R, 70 Ck(R, R), real valued functions on R with continuous k-th derivative 92 C0([0, T ], Rd), Rd-valued continuous functions on [0, T ] starting at 0, 51 Cα([0, 1], R), space of α-H¨ older continuous real valued functions on [0, 1] starting at 0 28 Cα([0, 0 1], R), separable subspace of real valued α-H¨ older continuous functions on [0, 1] starting at 0, 32 Ciesielski isomorphism, 28 c0(N0, R), space of real valued sequences converging to 0, 32 contraction principle, 40 inverse, 41 dissipativity condition, 53 entropy, 87 exponential tightness, 38 H1([0, T ], R), H1, Cameron–Martin space of real valued functions on [0, T ], 46 H1([0, T ], Rd), H1, Cameron–Martin space of Rd-valued functions on [0, T ], 50 condition (H), 139 hysteresis loopr, 22 interval of resonance, 20 L(R, R ρdx), real valued functions on R which are square integrable with weight ρ 93 L2([0, T ], Rd), Lebesgue measurable Rd-valued square integrable functions on [0, T ] 29 l∞(N0, R), space of bounded sequences of real numbers 28 large deviation principle, 37 weak, 38 LDP, see also large deviation principle · α , α-H¨ older norm 28 · ∞ , · , uniform norm 28 Ornstein–Uhlenbeck process, 8 quasipotential, 9 relative entropy, 86 resonant activation, 22 rate function, 37 good, 37 Schilder’s theorem, 50 Schmitt trigger, 22 spectral gap, 111 spectral power amplification coeﬃcient, 13, modified 129 stochastic resonance, 1 189

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