  A novel paradigm for thermal dark matter (DM), termed "bouncing dark matter",
is presented. In canonical thermal DM scenarios, the DM abundance falls
exponentially as the temperature drops below the mass of DM, until thermal
freezeout occurs. This note explores a broader class of thermal DM models that
are exceptions to this rule, where the DM abundance can deviate from the
exponentially falling curve, and even rise exponentially, while in thermal
equilibrium. Such scenarios can feature present day DM annihilation cross
sections much larger than the canonical thermal target, improving the prospects
for indirect detection of DM annihilation signals.
