Answer:
瞬く /ma ta ta ku/ and 輝く /ka ga ya ku/ are equivalents fir 'to shimmer' as a verb, both esp the first having meanings such as 'to sparkle, to twinkle, to shimmer, to glimmer'.
As its sense of usage for wavering image of e.g. hot air, 陽炎 /ka ge rou/ as a noun and 陽炎する /ka ge rou su ru/ can be used.