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
Cc
∞(G,
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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