Yes females have been known to lay infertile clutches without a mate.
And yes, they do go into a dormant state called brumation during the winter. Usually starts around November and lasts for a couple months. There appitie reduces and temps should be lowered when you notice eating and activity decrease. The reason you have not noticed this yet is because they do not go dormant during their first year. for example, my new beardie was born end of July so he will not go into brumation until next Nov.
Hope this helps.
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0.2 Leopard Gecko
0.2 Cen. American Banded Gecko
1.0 Bearded Dragon
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